{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PIV\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/optim/PIV.ipynb)\n",
    "\n",
    "This example performs simulates the movement of particles in a fluid and then performs particle image velocimitry (PIV) to reconstruct the fluid field."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install --quiet phiflow\n",
    "from phi.jax.flow import *\n",
    "# from phi.flow import *  # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
    "from tqdm.notebook import trange"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We begin by constructing a divergence-free velocity field and scattering marker particles across the domain.\n",
    "Doing this for various numbers of markers (128 to 4096) will allow us to examine the scaling behavior later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 360x216 with 2 Axes>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/3tfgNwuGJ0L2KTB0Aqs2lKlUZJQUU65SI0HgVlYWt7Oy2XM3Gm3NBrFWp6NHSy96tPQCQKXWcCkiiW07rvDt8mPcupPKU5O64uZm/Zvvs7Kimg9m/YqJmSGT5vRBrng0hVSUV2NkZtSAfKtVGi5ciufkmWju3E3HytKY+Pt6YjMzMyTDpE6t1q6NG872Fgxt3YJQd6f/SMZxt9OIjcpk+JNdGP5kVyiN59sPTnP8+iyUchXzRp5i3piTjH32KwpySxuRL0BpSRWSh1RzhYXljBi/kwMzHiqcdQJKE8DU+7H9ehz+NAIWRfE88Kgn9njF0R9ERZWKect2k5CZx5Knh9En2KdRmczyYg6lR3M0PQYbWQHFzkMBMNCpCKlMxa2qAMMyNUYaFSZKJyzdP0YqGCITDJFlHEXMCUdAAoioDXT4ujxFsVRGsTqfMk0VyRVFHM++QqW2GhkCOeUGGKDDWWmMk4UXC1oNx87XvEGfRFGkoKKSU/GJnLgXz4XkVCo1dQOyvFzF22sO134PdXckJSYHG0sTbK1MuRyRTKiPc4M6FXIZ5uaGfP7NQbbsvMKz03rQuaM3giBgYKggtKsfoV3/s66216h29BrVjoTL5zl7LA2tSsOMju9TXFDG6yufoefQ1rVlF89fzalN4fWulnMyOohoVRCZRVY4H9iOhb0946Z3p2NPfyQS/YC3tDZBZqTg1NEonnw2rEH7ppbGGJias/1YINOG36g7cft9SNkG/cNB3vSS8q9AbFIOl2JSGDGkNdMndnlkuYf17uZWRmRIYWnaIHwMMxloHfnQFSJUpFFt6M6ZihacvxnJiftHyFQrCDAoJbr40fcsl0ihIh0iXoK8yyhsu9Gj7WK6d5jM+UvxLP/hBPNe3sCXn47HvwkJtSn8+OEujE2UPPHCANyaWKXUh8JYgdRYQXlZFcYmBsTGZrJl2xWOh98jsIUT7dt60qqFI26u1lhaGGNuZkCFRkNabjEp2YVcTktj7/W7bL10iz6tvAm0NWNksAm2Lm2gidyd1dVqysuqibyVwiS1FmlxHEfDWyBKBSpEY77YPgws4uj1tjWOj5h0fP0d2HHwFbKziom6ncqqn09TnFWKqlLHJycm8VrPbShkNe9kSTTs94OOv4LX1N/0/B7G/4lgPL8XKw9fRioT+OLpIfQMbjg7ZZWVsuhKOOmVRVyrjKOFuT2hTq1pl7ILl8IbWGvKa2cNFVIWyEcT4NiWZ02H6A/e/RIiP2jUpkPKURgWBzIjAMa66gk1N+MoaRefJU6wI11qQYbagnSJHIMmJDZBELA2NmJsSCBjQwIprKhk4dFTHLh7D4CJHYMZ/KQfucXl5BaVUV5eTZqDPbkFZeQWlpJb0NiyI6ClEysWT+XM+Xv8tOYsm7ddZu36cKZO6UrnTt7s23GNu7fS6NrTn1bBrljZmDQpGWjKcik/NIqoUwVcPB9Cak6d/8zn89fjZBSLb5sALv60gAsX/PRTbz3t6awhZ/BwLaOo2pZEk7e5E5nBh/PW039kG557cyhGxvoNja5hLVj61SFSknJx86zT7wZ08sXOL4io+yLV4n2UQkFd5cV3IGkd+D3fqN9/FW4mZWDlZMroIa0fW66+FKcylqBsY82qND8k+DDK9nIDAq7Wybio6srRk+XcqthIdFEeVpJyuhvexdsoB09JHsbW1RRrjVgnPElcuZwylQoREQGBU8mJjMt/HcuiU/oK728EdRFC2AG6d/bFy92Gz788wGef7eOTj8fi7Px4n6hLx6M4suUy42f3oXVX3//4TCq0OrILygCIic/i88/2U12l4ov3x9Cxg1eT48wKcLG1oFMrd8YTSkW1ipNRCZwLP8Ky6yI/HtESZvsrY3uF0V71C9LSaHAaAqFfEndkFQC3bqfx6Qff8uZbTyOyD7RafQJMpYJf93jT6+2Gbaqq1dy+kkRMZArHdl3HwECGtasVt/OLKa5SgYUCRJETSYHo5JZMCdyJl1WNRYSog5tvNhPwAyRk5rP2xHXGdw9pRL4HY2NZe+cGETkZTAkM4bMe/XE3rVkmuu+EmEVQlgjWnRDzr/FRoTFHNC6cylcztroCS6WR3gyoKVRmQNYxcBlRe0gQBOxyT2OnSqUNqXVl3fxA3njj7mFYGhny7cjB9Pf34Yfwy/Ty88bD3goP+8ZL28dBIhHo1aMF3bv4cvR4FOs3XuDt93fg62OPl505Vy/Ek5acR/zNFAyNFHi7W5Gbmo9apUGj1lJVVIa6Sg0EN1n/tD5n8cn+nshf2/Hxrz3oFhCDf+c4ftzcFgCpDAb31WJg4QUhn9LbpgOiKHJgyxU2rjrNii8P8vKHowDo0MWXlqF3iIpKb0DAAP2e7Mm7k28z95uJhLjfxt2hAB+XXFp65EB13u96Jv9r3ErMpKCiEnPTx/+u587pJ1NTVzN6jAyiZ4g3Ps42GOceIOfuTY6Vv01skQn3Mgq4UmlLmUaGRcU9+oR6s6Crhi4JryETdI3qHW4tR9PvIruj7vLl2XMUVFSSXlJM77TefGhexHCjmlVDxiE9aQgSnJ0seXPBUOY8v4a339nO0u+fxOQRuvzstAIWv7qBXiPaMOXFgb/pmaTllCC1NKK4qpq3vtiNpZURS96YgK3tb1+pGCkVDG1lw9DY15ljZMaO7M7szW1P2t7L5FZ3po+1McOz99Ki4B779vsC5hiUV3DmupzUUd/phSlBAIkEqqqRGegl/aL8Ug6sCycxJovLJ+/iUGOJ4dXCETdvW24l5VBcqdILEYK+DidvW27mGHPz4FPM7niAPr41zhjV+b/5fh7Gv46At164SWt/Z54b3KnB8bWRkXx46iSdXF05MXk6rmYWDS80sIXQz2u/bky4wvbcQwCodFrevbkGb4tyCmxCUFm1JFtihgQRiajDvzKLYqkRLsV3cZEocDNyxcPYAzO5CZi1aNzJJo5VazR8F36B4S1b0sKuIfEMaunHoJb11ASVmXr9k1kLsG7XqC61Rsu56wn06uDbQMqQyaQMHhhM/74BHD95ly3brhBxKwWMZTh729C6rTuqSjWCSo2DkwVypQy5XIaBUoJB9g6KM5O4eNuT8iolFVVKHoxOf+dM1Godv+7xoY1nAi8OOYihQk1qhhkHz/oiUyh4ffkEXv3hGVxt9CZmgiAwdGJHMtMLiY1KIzerCFsHC+ydzEnJKCQmOoNBQ0Mb3FdgJx8EQSAtTUd6eitEUX9vP761Czf3iY2f81+IXG0lVs6mtd+zMoqwsTNtsMlVWlrJ/cRcTKwMWf7tVBxtzdBotGzfe52L90SuRLcGSxlqnRZ3uwAmdfOinY8rq5/fwpVDZ3Ec50aHlhKkcl3j/VGlDTKJhLFBgQxr2YJzyfdxMDHig22LeLNoPEnVtsyzOIbE3K/B8t3JyYIPPxjFsuXH+enXM7w4b0Cje7t1KZ6VH+7EzNKEKS/0R1FwCtRF4DgI5I/ehHv91cEkpuQx95sd2HhZ8vrk3r+LfGtRlgg6Fe6GebzssY/n3Q5xLr8lx/JDuVnqwZaCrnify6SyWH9fWq0Ex9xU0tP1zz6wiy9JUano1BLGPdOTqopqVry7nfSkPDwCXBj7bBghXX1p2dodA0P9ylSt1nLw6C127rlGcnohAKkZhcyZEUbC6a18dmIChhIVXbzvgddTv/+eavCvIuBKlZo91+4yIMQPC5M6SeRQfCyH4mPp7WbP9/3aY/Aw+daDKIrMu7yFE5n3qJv+RM5n5WJrJOJo4odF1jEU6iREBHSCgETUkWwewN3qAsJTd+Bu5M7t4mxcDB0IMPOkpcsU/NP34SSWgOsY8JjUqN2o7Bx+vRbByivXCLC3Y1SrVgz288PO7KEBnnUCzgzVG4IDtHgF2nzdoMiR8Gg+XnmE1i1ceOPpfrg/tBkkk0kZ2D+Ifn0CuHY1kUP7I7l0ORFdcSWmZob0HxxCaFc/Wnf1RfnATCg+F65sYPaoC2i0Es7f8mHn6SDiUu0wUGg4F+VHbIYjHz+xFUOFfpNs9vNw8CxUV6iIuZzIM6Gv8+WRtwjpXrcBFzYoiCM7r5Icl4OtgwWCIODpaUvK/cYSraGJAa4+9qTEZQECgiASHKjDZfJeMPNvVP6vRKVKjVKuf510OpFnJ//A4JFtmP1iDaGpS7h74SLOtqa88OYwHGuIaO26cI6fj8EvwImXnwyjla8jPs429erS8XmqXt2yZ1sK562eR+ah48uBa7EzKqZMreBkcQcqLJ6l8MQl3G0s6ebrTl8f/epv86jeLN2/kmUFA8nBno/6TG/kfRUS4kaXbn6sWRdOxw4+dOrgRVZKPrE3Uzi77wYXDt/CxNyQT9Y/h3PSZL0zEuhNCvtfBGP3Jp/JjeQMfjp8hbyict6fMRBv96ZNBqvUGs4n3ye9tJj00lIcjE0wlStp7eyIt7UVgmVrfVuVeht0pURDX7to+treplyj4EB+W1af71GvRoGCUgsQykAUibqTymfbXyAkSG+yl3g3neyMIvpP7MiwaT0adwiQy6WMGNKaEUNak5dXyuLlxzh3OZ6f1p/jhy/mI136K5/vG8fKr01xaPdSk3X8FvyrCPhaUhoONmYMblMnYWaWlvLWiaO4S7JZY/gpiv0ieM+ADqsamFmptBr2p91mdfwl4koemCYLtX+rtSLjXWbR0sIBvJ/XE6Gho947xsAe7HqCIFCuKSelIp2o4mTuliRwPi+SKOOWXDT3wFFpQlszH9qk32KES5sG0mkbZyfCZ89if0wM229Hsf32Hb7cdYZgVwfC/L0Ia+GJv4Mtwu3368gX4N5iaPlKA/vawd0D0Gh1/LLrIm++t4NpEzszoG9g3TPJLGLN6nM8Nb07HTv50LGTD8VF5Vw6G8u1i/FEnL/HlqXHURrKGTquHYMmd8bZ+1n9Mj9xNTKlDWHzFxDW/xuKkw5gZqLip9UTaN/amDYtCvRRQAxdyXP5Clipn8d0WpAIbPh8TwMCtrQ2oaywktzMotpjVtYmpKfVW9apy6AiFcz86TO+E6s/1VsuGpsb89r6d5HYWvy+gfInwNHGHHnNBltBfin+rZzw9KohnOSNcGUmaZcDSY/tg6dFGuBEWnoBV64k0inUg/nz+jdZb0FOKRp1nV1wfoEMoVxKzrylnM2W8cvxTIpNZNgWFRFXkYSpgZJqmZbBgf4sHN4XmctgXni6J+KJI5xNt2VJtIIXm9hvmzKxMzH3Mvnm7S3oMoqpKK0bY4JE4I0fZuBnGwV39eSr0UmoKinEJOZbaLu4QV0pBUVsuXSTNacicLU255e3JuLj0ph8M4pK2HUzih+vX0dVXI2Xhw1pZSW0tLYlIiWTji4ulJZVMaldCKO67kN5500ojdOr+cxaQsTLGFPBSNdstopyylE3bEAQQBQRqtQsXnKMcWPbM3hAMBVVGiTmxrgH/jYnGxtlDh8v6EFMShde/2Abq3dG8PSLsxF+OYe8Zf8/5Az0ryLgcwn3uV9eTFvvOq+0H29ewc+4is/FFSgkNbqzhJ/1kqjTIAAupKewLvo6p0tv4Wdmx5uBAwhz9EMhlVGpUVGhVSMXJPiZ1+z6GtiCR9NLXmOZMS3N/Ghp5odO1KETRZLLs+lufZ/rBcmE58YRVZzOSNe2ja61MjJkapvWTG3TmricPE5EJXAqOoElxy+wJ+Iu0mIdYaa+9DLJJMQsWa8LFLWgKmxAwBKJwMjewXQN8eCTLw/w2aKD3Lmbztzn+qBUyLgXk8mZ0zGcPhXN8BFtmPJEF8wtjBkwvDUDhrdGrdJw+2oSV07eZf/qc+xadZqxs3oxfPocrAPequuw60jMS+5RVCIl+s1lTBkUjqDRm+NRmYqsIlr//4N5RhTxaNXQyy0/q5iAUDfsnOosQnQ6HSpVDekkb4Qrz4GmFEy86D90C6s/1Z96belTWD/CCeCvRmZRCVUlatbuvcK9hCwuZmZz/6SGwHaOuFydDZpyBB2oqqSorryBcsRJIm7cJyEll48/GvPIerNSCxp8N7Yx4fVFkzgbnU5kVBrBLTx5cmwnclMLWb32PP1GBJMkq6CoogppjXWJIDfmxQGjKD50kh/OX8HD2pKRwa0a1CuXS5nxdE/m7otAWo98AZxbuvDrkmNsMytDq52BQq7mYmlLBrld4zVf/UqlWqPhdFwSF+Lvs+3abayMjHimd3tm9u6AkbLhhrNGq2PLlZssOnoeQ7mcbmb23DsbzyAbR+bOnYoI3C8s4nJSKluu3WLT1Zv8cLaKeWHfMDKsFbKa+8J9IlSkoDBrxcYWy9Bde5UUlRULLk6mME6BjURJRVElqLVYWxtz6NhtzM0NETUikSn5zDRp6Ml24tRdcnJKmDi+o144UhXBmeGQew4EGS1avsb7bz7HvIXb8PK2Y8HHj/7dfiv+VQR8Jz2LVo52yGokkfTSEtbfvcmT1gV4PrxJUxKD2r4/312/yNKIS3iaW7Ksx0R6Ofk1uTv73+ByXjyfRO2io7UPnW38eDdwFKZyJYWq8kZlRVHkq8vnGejlS7CdA752Nvja2fBcr47klpRxKS6FY1di2RYdxAZtMH5G6fQyiWJSaCnm5q2aaB1src34+tMJ/LzmHJu2XaakpJK5M3sT1qslrQKcWbP6HLt2XiM5MZd2IW6MnNARhVKGXCGjTVdfnDxsGPZkV/avPkv4vuvsXXGMya8OZeSsevafZv7EXLpFy1YmtPOIbNC+XeUWnv3sZVa9tRlE8GvvzfT3G5p9x9xM5e61JNy8JtQeU6u0enMtdVkd+QKUJWJ5/21Ab9daUljOine28uyHY3+XW/WfAQkCKXdyWH4nB0EQEI2kpOYVU12SBWr9pGSkrCLYLYmqgkRMgej7ORjaGGFjY/rIenf+ckZfv1zK0OndmfnaYC5fiufmzRQCApyZP7svgiDw7b6bpKTk8/P3pwjr2YK35vQlKiOb3NJywvz1FgdvDwgjMb+Q9w+cwMnClA5uDe3i/TztmPnRGH55dTNilV6atHO25NWvJ3LjciJJ8emkpaVja5LBSOuLBNje54j4Lqf2HOFoTDzlKhUd3F2Y1aMjkzoEY2faWD9cUFbBgo0HyS4po5uvO28MDmPNstPcA3bvvI5Wo2PuvP54WlniaWXJhDZBXE5O5dsT4byz7xgXY+8zvk0QHf3cQGEOiiAAFKlrQKHGT5HN2l4r+NBtPJE5oUztGIK/ozVterXiwy/2YmJiQFJyLl6+dtjZ1emjy8qrWbT4MJVVaoxNDBg+JFQf7yX3nL6AqIG7n9Fm4Bh6tPdh99FbTB7eHgPlH/Pk+9cQsCiKKK3kBNvUra8OJ8diZWjIM0GhUD+tlyBFaz+AV04eIrm4kKkBobzZqSeG8sc/zKLqcm4Xp3GnKBWtqCGlIgupRIKsKgcXdS7uFj609BiOq7EtEkGCscyAQHMXTmdHcbc4nfnh++jq4MVw10D6OftjIKtrL6u0kI23LrM84jL9rLW8HDaJlvb6JZKtmQnD2rZiWNtWlFdWc+HUz1y9A79G9WVLhoJXrKIY3LVVk4bqMqmEWTN60qqFEz8uOsy8p39m4VcT8WvhyGsLhjB2XAc2/nSWn5aeYPWPp+k9IIAnngnDwEDGOy+sRxAEPvhmEsOmduPHd7fy84c7iL4ST98Jnek8pDWCIBAbkUxMRB5ekx6a5JQ2jJ0/mLHzB6PT6Wrtfevj+um7hA0Jxs6pzgSqKLMYZzszvdpB09C0rigtDkRPJBIJq97bjkQqYdj0njh7/yUxnR4JN2sLSj0qSE8u0Ic7FQScbMzw9g+F+JZQEk1qgS03U70w99G/dlpRR+ugRy+Ds9MKuHE+FoWhgu/3vYSbly2VlSqWfHcUMzND5jzbG6EqG5LWkpuke7Di5vSZGK5eS8K8jwN3i/JY/8wEWjnaIZdK+W7MEN45coxnd+9hzbgxhDrWrJzyr0Hs94y10ZI3px97vr0BOhG7bp7kyTSEDGyBV5UnWZl2xMSf4nSekh9KeiEeTaWTtxsDWvowJKAFnTxd6yTUh3A9Lo1FB88Rk53Lu6P6MKp9AGq1lvDwuuhu+/be4MCRW3Ts6oujhxXD+gTRydONzU+7cuRuHD/uvcjMizvo39qPV0b0wMGyZvJS2tTWYSar5BOfjSww7MOpxHSGjuyAQiHjk3dHA7D19E0yDbVYWBjVtbv/BpU1k86SZcfw9rQloLgufEEtiqIYObAHF5JSuXw3hZ6t/3snDPgXZcQorq7idEYyZmZ1ZjTr7kXQ0t4GZ7/x0PZ7MG8FVu0Qu27j46gs9sbHMNDLj4Xd+z6WfG/kpzH/4g5evrKTF66t4+f4M8SVZpNbXUx6QTRxBffYWqHio8x4Jl/8hp8TjgMQbOnG562ncKT327zeaiRTfTsQW5zDr7FX6LFjJetibqDS6pfajvfe4ZzxO7xscIRL+Sqm7VnPC7sOEJvTkNSMDZX0GzyHtxZ8zYaPp9I+wJ2v15zgjSV7qahSPfIeunfx5aMvxiOXSXnludWcP61XD3h62vL2J2N4+9MxSAQ4uv8WU0cuYfzAb0hJKeT+/QJemvELRcWVfLhhLh9tnkd+egELpyzly5mriL4ST1FWEW16+CP3qucbL7eAgDdrvzZFvglRaVw9eRfvesF3dDqRlKRc7BzM9Rtrxp4Nrrmv0vvw6LQ6SvLLKMop4ZlO77Ps9U2PvPe/AiWlVWAkwcXOvFbj0qe9r14P2XMvJeYjOR0TQv8uFSg6LQHgQmQySqOmx50oimxdcRKpVMKKQy/jVqNP3rHlMgq5lHkv9EeuyYVDoRD5OtnpmQ0ipBoaynl3eG8sjAxZcuIC2SV6e1xLI0Pe7dsLKyNDXj14mJOpCfrwlsd7QNJaSN7Acw4zmfZGZ4y9rSlxNGL2yl18uvMk01du5819t7heFYCJdQvm9erMxqcnsGrKSD4bPoBu3u5Nkm+VSsPXO87w7HfbMJMqWDdnAqPaBwAQcT2ZysqG41aOgKGxgi37r/PsmxtRqTUIgsDAAD82vTKF2YM6c+ZOAqM/W8uxiFj9RUHvg8y4tg4D/xm8+tRQ4lPzOHE1tva4Tqd3duoc7FG70lWpNGzdURefWKvV8c4HO0mTPqSXlyjAoTchLZypVmu4k5DJH8W/RgLOKtMPMHsT/bInsbiA5NIiZgTUmGn5z9V/gCMJsYSnhTMrtD1z2jzalzutrJhPr54ioiQJtahlglcozwd0o5WZM4ayGr3WNktQF6FF4L7UmmiFC77WDYPJyCTSWl/914P7cCHrPotvhPPupaNcTE9hvG8wYYmrMRWqmW9wnGmKcLZVtGdZghmHo2MZ5GXDXM8MfNxag2PdoPBxteWLecPYevQG24/f5Is1x3n/2UGPdNn09LFnyc8zeH/BVjavCacwu4RhE/T337NvAF3DWjL3qVUkxmY3uE5dVc1bT//CO99NoX3fINqEteLw2nMcWXeWVW9vJje9gD4TunBD8x5xCd2IjUwlIU7LZFUp/aY0/WxFUWTukEUADJhQ9xtkZxRRVanGw9tOby7Vc58+AE/xXXAcSOSxfrh4R5EW37CPXoH/22h0vxdGSjmVGjWfPzeImQs3AzCoh141VCV354Pdw3EJkDJoZi+QmxITn4WdhQmdQj0b1VVeWsXVk3c5uOECcz8ag6ObXrq7F53Bul/O0n9QCEFBrnD3K6jSP4fUYj1BC4hY25pRqlNTXqZixZSRTFq1mVlrd7H+mfGYGChxMDVlw/jxvBN+hOlHdzDDQcNrGjVGD4aNTsXEzjeZOPtTCguzSbqzi0pVLtI+fXC0c8XR3BSF/D9TR3FZJfvCo7gQlczFhFTG9wjhhRHdat3kNRotb725tbZ86zbu9OsXSNdufpgoqnmubwHxuYYoZHWkbqCQ8dzATgxr35IVBy+x4OcDfC6KDGjbBYYnQeZRvWuwTSfcgJb+jhy+FsP4fnoHmbvp2ZzLS+PTPgG1dd68nUpRccNgU0XFFUz9SKB/24+ZE7wWM3NTCFoIRi4YAN07+lCqe7TA81vxryHgAlUFrd3ssDfRz4IR+al0dLWnh3PDAV6hVrEw/BRmSgNe69i9ybpEUWRL7G0WXjkBwGvtujHeNwRjWVPxBvRihxQRL20eXtWlYProiF+CINDV0YMuDu6cSkvg8wvneCpuB0MNnuA92WbsJKWYSyp5xjKSMZP38svRday7l05BegrtFKeZ0/kosnZfN6hvwoA2IBFYtP4ULTzsmTSg8QbfA1hamfDV0if58p0dLPvsANVVasZO6waATCbh25XTmTFuGfm5JYCAVNDy5ZhVfHfyOT54fi2vfjaOsCEhDJkRRu/xnTi++QJKQzmXDkayedGB2j6JokhRXtMxlzVqLQuf/VnfplyKqalS78lWeJOk+/oXxcPbTl/YIgB6H6v9Xc7Mew9rJ4sGBDzplcEMerLp3/KvgpFSQUW1mmA/J5RyGdVqDZ4ueuJUKmV4+dgR2NqdViGuqNQa1u27Qm5+Ce1DGppwJcVl89zE5cilEgK7+9N/gt6evbCwnDW/nsXS0oRZc/vWlNaPvXWRPdGIMiyUpax43RBlyAw+/+EIr32+i2UfjGfJpGE8t243L2w+wNLJwzBUyHEyM2V5vxF8evUMcTkRjDafzZyqMwxR3UaKqF/Sq4qxPNcVy7IEfXPFduB+DeSP9pgrr1JxLiaJk7cTuHI1kbIKFa39nFn76kSCPOveC61Wx8cf6a1Z7OzMWL7iKSwtayTY0njY1wXr6lysAU72gd5HG9gvO1ub8/7kfug0Ot5fc4QuLd0xNbIFz4YzvquzFSp1nXXE2ZgkBAG6+XvUHgtxr2TeqCoORxkSlyPFWK7E3d6CooIKTt0qJVe3kDdfHYyNdZ2uvkrUEJH8x2NR/2tUELmqUm5WpmJtrLf/vZSbTEpFIe6mFg3KbY29g7WJER/16NPkckmj0/HmuaOsuRNBOzsXjo6awfSW7R9BvkCLlxt+930OZE17Q22IjeCF83tILy9GEAR6u/qwb+yTvNy+K0dVfvQvf5W1lV3QiBII+hBLE3NekXzFSZePcZHks7ygPzNOVlFcktuo7vF9QxkZFsTGw9fJacIluT6UBnLe/GwcPQcE8tO3R9nw46naNE2GRgre+aBv7TLaWFmJgaycL57aS8tQNw5uvsyJ3df1ZU0MGPZMb/pP6U7vCZ1r639QV9veATyM0uIK3pi8jKs1KpDADt5w5Rm4OBViFpFw7EecrEQ8Hphw6dSQ8CtEvMq9Y9vITM6l7/hOKJR62WHwtO48+fqwx97vXwEbMyPMjJSIosigGjO7arU+ZoAgCMx9fQhh/QOpUqn5cv1JzkTE8/q8gZga16nMRFHk1LE7AKi1Om5FZfDs2KXs33mNF+at4+atVD7+egImD0J9ejxBGc7sjumClWEJayb9il2baZibGfLys33x87Jj4cojuBqb8eno/pRWVDH5xy2k5BcBYCCTs7BzX17uNBRbiZYPjIbxqtEY1pgOI8tpLNzfBA/IF/TR2B4KQi6KIgl5BWy4Gsm8n/fQ470VvLb2IJfjUpjYvw2b3n+SVQsmNCDf4pJKvvzmIOHhccye04dNW56vI19AjP6GstJSVJoaJ5bsE5B5rNEzl0kljOgSgI2VCTeTmlYH3MnNIUdVF7ze0tiQwaEtsDKp0f8W3iRm+yhWRoBICs+3P8OuVU+ybNETbPh1Jl++2Z7kxCQ2/7JCb21U+3sbk1/aeDP99+JfIwEXq/SmM+YK/eCMzE8n1Nq5gUWDSqtl6a2LtLKyo71j4yVrtUbDiyf3cyg5jnmtO/Nyu65NWkTo1OVUocBILoeg93g72pGCvFwmdXShTeAEHuUbVK5RcyQtliNpsbwV2ptJfqEopTLmt+3MMO8WrLp2kvejjdmomMZHpoNpD6CtxEpazqf2W+lsGM+Wgs5M//kAa2dPwsSgzoxGEASmDe3AvnNRrN5/hQVT6+IdiaLY6D5kcikLPh2LQinn6vk48rJLmPPmEORyGQEtjZna+SSH7rRB0Gn5bP9YFj97nI9+nMaHs9bww8I9OHvY0CK0TnrrNrwdY18YxPbv9N6DZlYmeAQ0fMYVZVW8MPwbMu/X2fhWlpbpdY81iM1yRqHLx7AmNgThkyF1OwDHt3ZFrgii69DWfP/KBpRGCuZ8Mel/ZrXyR2BlakRyXhEZhSV0be1FXHoeCWl5BHjVEY9OJ/L9tnPsCb/Dh7MH0q1N3QZOUVEFK386xcm9kQ3qzUwrYNlXB2nZ0YvX3xiKj7c1aFUgVSAaOrI0bTE2NnG8PFaHadgVMNI/c1srE16f1Z/ZH29h3ufb+fHdCZj3MWDB1kPM37CPwe38mdw2FBOlgjb2rVgz4FuORW9kX74Fi0pK+Obsz/gJCtwkY2ily8RIo8YQNcpcLXm3IkkvLaGssprTt5PILdMTUU8nd8Z3CaZPkA+tPZ1qzeBALxlHp2Rz5dZ97txMJfZGGm+9PYzeveoseIqKK/jh59OU3jcnPO5DfK3SMFVU8XToEQJVDc3xHsDNzhIbK2OKKqsanauoVlNaWU0Xv7pxOqlLKJO6hNYViltBYZUcE1klbwdvw8M4B7L2gueTkHeJkJR+jPDtyqrwQQy2H4zXlNMgVWJtakxBaSVana7Bff5e/IsIWD/LmSsMKa6uQBTUBFs2tDk9lR5PUXUFTz/QCz+E9y8fI726mA+79GFaYJtG58sLYth55CN+znWnj2km7w6bzd0qd/ZeLgPRkLO6AjQ3ltPR0ZVx/gH08/BpYOkws1VHhri3YPGt83x0+RTb46JY3GMoXuZWeFpY8kmf0fT0jOfj86d59/gJOrm4sEDphlFNHNJhZhFYygTmJPjw2d7TfDS2fwN9r7OtOZMHtOHq3RTyi8uxNjcmO6uYzz7czYxZvQgObbjjLpVKeOmDEaxbfpJNq86QlpzH219PxMLKiynDYHKHxVxO9OX93ZP45dpUnhuj5P0VT/HGtJV8/doWVhx8BZm8ztV2+vtjuHw4ktR7mdh72DTaeKuqUFFSoH9ZH+zYl5VWUz9oXkWljACXmkAn5am15JuSacaxcE/GD4unILsYrVbH+Nl9/3bzswcIcNVbYUSlZNPBx5W7KdkcvhTTgICPX77HziM3eeWJMAZ3qSMerVbH/Jc3kJVdzKQnu7J5xanaczJDOf6t3Vjw+lAcchfD9q/1tt8+s9mcNIFDpxOZ+VQv/B9yvQfwcLJi8YIxfLjiEFUqDT38Pdkxdwo/hl/l61PhrLp4jSldQxji54+vlQ0DAp9iAJBSns/57DhOJFzlcrknGVhwQa13hW+TJyXy7gkUEintHJ3o6O5CRw9XOnq44mZpXjsZ7rh2h7jsPBJzC0nMKcBEKyM5vQA7wYCeod68OLUXfr4NPUKMjZTcupNGax8vZpuuJ6/CjPgiR+Ycf55+FUpeeaEao4cyexgZyLmWmkGfysbBgQ7ciSFJXUzv1o2jIdZCkNDTLoouNjHIJTW250LNmI5dBjoVw70ucz6vFVfvy/DKOACuo7G3NSEw0ImiyiqsjY0eXf9/wL+GgAWJmgArc2QSCUkVGeiUKbS1b+jXvu1+BH6OZvRw9mh0/da4W2yOu8XzwZ2bJN9Laam8vncbtqIVTtIiOnCNotNPMT/qJSQIiAK0ljgQFOTE/oR7rL0dycKzp3k6tC1TAkMwVegHjrOxOV91HkJvRx/evHCEIXvX8E77MCb7hyIIAgO8fenm6s634RdYF3mDQnkL3jePwUqqJ65uRtd5p+MUvr4SS2s3J8Z2CmrQz2HdA1l36Bq7z9zm6eGdsLA0IjurmJ9+OMl3K6Y1khYlEgnT5vbF1dOWbz/YzfwpK/h42VTceuxBiF5EJ9coRqtNMPfoiCiKGBgpGDWtG7vWhXM38j7B7b1q65LKpHy45QVmhL5BakzjJWFJXile3jZUVKiRGCiIu5WKViOC9zMQ/yMA5ZUGyG1bPPhRAYH8YgPeX96PVt45DOqdy+5NFwjt4c+gJ7s9flD8hfB1skEmlXA3NZv+oX6M79ua0zcTmFPdDcMaW9Hzt5NoF+TG+L4NI6ZJpRJmPRuGg705Up1YS8ASYwXPvz6EgYNCkGQfgzsf1l5z9fR+Vp50IKybP5PH6TcxiwvK2LbqLFoBDM0NcA1xoUtrT9Z/OrV2ona2NGfh0L6MbRPI1sjbfB9xicURFxnk54OXgwmdbD1oa+3GZK9OTM5bDbk/UibKKVEaUYkcnc4c02lXsTI2QyF9dDD3laevkFtahqOdOa7O5vRz88bFwpwQL0fMjZtW0cnlUjb89Ky+rxmulN1dy5YrNtzJgpOn4qjWHeLjt0Y2vEYmpUWIPZg2HNc6nY51VyJp6WBLkNNjTBR950DSWuQa/SY+pr51AbVqdM4WBhWUaQ25lu/LhAfkrJRwKTed6nrhYv8b/GsIWCfLwMZC/9Inl+s3aDxN6qSPElUVF7KTmOrboREJpZYVsTc5ip7OXrwc2vCl1up0/HTjOl+cP4e7tJIFJgfooEhCpZMw4+bzZJeX1Za9FZ/JwjH9WdChOxfTU/jh+lW+uHCOKxlpDPT1ZZxfYG3bgzz8aWPnxKvnDrEnIYbw+6l80WsApgolxgoF7/QKo5ODBfMPqEjU2LPVZgmGEv2PPc7mGodcRvLtgXP0CvDG2rRuBvZwsqJjgDs7T95k2uD2KJVypj3dg8P7Izl24Cb9Hwpw8wC9h4Tg7G7N+h9P88Izv7Bw0USCWn8EwKyH3OXbhbVg8Yd7iLuboSfg0gR9lDiJEifvGbj4OmBh1zDWsapazRczV1GYU8zy8x9gZWfOvZsp+pPBLuDQFwpvUlItUKKrWZobOYPHZKySNtAxKJU+HRPIM3+f41su0rZXALbOvy8q3J8JhUzGYB9fspKKAAhr7c364xEcvhLDqO76SbJSo8bB3qxJK5WunfUS3C/f600YXX3s+Wzpk9ja1mz85F2qLRub78SaW73xsFPz+kuDEASB6io1c4Z9i4WNGWa2JqiM5Px4LAJDAzkDewbQvq0HHQPdMVDoJ4NgJweCnRyYX96Z3THRJKiyWBN3iZ9iLyAXJAxyDsS6wIpQAggSUtEIUq7iwSW8CD/+CyISLoyYT35VOallxSQWF5BSVkRKaREqrZYc+woKLKrJJwdplcBPXUc3WKoXV1ZxIzUDlVZLtUaLpFRHVZUaWaWOzIxC7kTlkpjcvsZETb+ncOZiLF+vOs78p8JqrTAEUcfVqnR6p0eDbSY4DwbgdHoSuaZlvNO2V4P3PSmrgKTMAnycrHG2NUdqEQCDb1EZv4nYXGPStJ1wjsrHx1uKif98faxpbSU+5hncKvTTByCC2v0jta5xZLrfg38NAVdqqzGU6vW/98uzMZYaYKOo83Q5lRmHWtQxwEUvXa1OOM35nHt0sfXjREoqkfnZHBs2s8Eg0eh0vHr8EMeSEngqNJTXVJ8hzU5ha05nPkppnA9KBF5dd4C3Rveii5c7XVzciczOZNG1cyw4e5g98Xf5rPsA3GqCAdkbmbKm/zhW3bzKlxfPEZOfx4qBw/Gz0u+e920Zyor45Sy5r+C9ijF8ZbIFAMEqlHfH9OadLUfZeOEG8wZ0bdCPSf3b8NOOC5y+Gk/fzv70GxTM0V3XWfH1IULbeeptbJuAf6ALc98aypvzN/Duy5v5eMlkAoMaZxExNjHA0sGMqMgUxoyKhcPt6hwm4pYR3OV9zu651UD3vOWbAyRFpfHh5vlY1ZCzf0g9lYjbWHAbi6Hpl1w+ebfOcaPTGgTnYTwXFEV0dhven30GBw8bnvnwj7uB/q9haWTAvqt30Gh1hPo6072NFxGJ6bUEHJ2ZS6j3IxKOopfaTh25ja29OcvWPouyvpeVrT7Ie0SWN2+fmYqVQSnfvuGBUU30LqWBnLkfjsbd1x4ndxs0Wh2RUakcD48hPa+YrUv2IhEELEwN8HCyxtzUkKzcEpIzC6hSqfnxzQm8334AEfmpXMpNIqu8nDXFZqySTG7YSVEEVTUyQULw1kVUa7UEWztyMycbmSDBxcQcfwsbBnj44mRihpOxPt3Ww4n1EvMKeG5TXTYy73ITcnNKcRMNKMkvR61qOiXW7kORnLkQy/hhbRnRPwTFrTlAS8g7D2c+htZfI7Z4maWRlxBkAv39G6omvt1+lvN3kgBQyKTYW5mSW1oOWlPczcxIu30GK1FOUKgrnTv7MmTQTUjZgm+VGceOqSmu1GJuUkfAmmYC1qNSW4VhTdbcrMo8PIztG8x8kQUp2BuaEGKlzxhxrySTm0X3uVmkT7FjZakguSIbJ2M9Oai1Wl46dpAD8bG81qkbc9p15NY9M5ZGbONyti0ytPg7mNOhpT+CIJBfWkFSXiEJOflEpWXTzku/GRJq78iawePYGH2Tz6+cYdjudbzZsQcT/IIRBAGJIDArtAMhto7MPbqPUTs2sGLgSLq76jcOerQdw+Xs71he2YdRyut0kcdDdR5e9tZ4O1qz+sx1JndtjbVJnRTcKciDL1cd47t1p+jb2R+pVMKrH45izuQV/LzkGC+9O7w27N7DsHe0YPGq6Xzx+X7eencbK+bl4SSLAqfB4DOz9qXoFNaCxNgstLE/Ia3vrVaZSUvPTFJaOZOVnIujpx33rieyfelRJrw8mI4Dmo4p/ACqKg2VZdXsWLSMcc/2AotAcJ/AxYORLJq/Gnc/B15ZNgMLm78v+8Wj0NLNnmTnXLJzi3F2sMTO0oSDV2NqN2o6BLiR9piUU8lJeZg4mDFiRJuG5Avg0Jczwsd8dFLAxSyfr2bKsQ1tSI6d+9ZZncikEtoFu9Mu2B2NRsv1mFSWbw8nJjmbgpK02jh/D2BjYYyRTEE3e2+62etXIJ+0G0L03p68UNWJdKz0JFrz+9sqTRjo0gJPMys8TC1xN7XCwcj0kV5wD8PP3oatz0xCIZWikElRIkEpkyEXJKhUGiJvprBh03Hup1XV9tTa2oS8kgoKiyv4cf05Vm+9wLvtr4F5vfRWMd9yx24yKp2aZ4La6bOC1EOwl2MtAas0WlJzihCBti1cmN6nHZ5zLcmJOc+6XUnsPFyKaNSeoT3foZNpDoLtfYSavhjIZPjbWKNpIjnu78G/hoCrdXUSsEQaRXuLuk0OURQ5VxDBAPdWtYkq/cwcOZ51u7ZMlU6FTqybzb67doGovBze6tqTZ1u3Y2dEFJ/svIClsS/fzehOz4CmY0aotVo02oazokQQeKJVKH3cvFl8I5zXw49wLiOZz7sOrNUNd3J25eD4qXwUfprph3fwQ7/h9PPwgco05hke44bajdWVXekkS0BSkQbA9J7t2H0tig2nzjDf+YQ+MpvHFCROg7C2MOZuQhYHz0QxuGcATi5WvPP5eN59fh0l+WV88N2UulCTD8HMwoi5L/Rn1rNL+OznQr4eeABl+l59RtjAdwAIbO3BznUXOdxCxpCHVGwe3iboNFXERybj6GnH2d3XcPKyY/z8xwfyVlWrKSkqA0Fg7c/J9DXvgGWHFyD0MwK7+NJ3QmcmjcrH/G4fiJHpc8G5T3hsnX8ljBVybkamUFWptzvt2MKN3OJyyipVmBsbYGVqxO5LURSVV2LRhB40J68EwUiOb6vGUvL2vddZt8+cjh2ceOPFAZiaGTcq8yjIZFI6BnrQMdCDqio1Ly/Zw7W7KbXnTUyUuNhZNLpOKZXhp7nPK/nVbMjvRozoQLm/FlEQmOzbmjkBNSuv5I2QuE+vP23xEigen1kDwFihINj50WmQ+rVIpF+fl7iU58N7l5+kulBJYAs7Tl9JBvTzgEajQy7R0NM4BlMqa6LHStmTepskTSbjfBsHzOoe5MnyvRcAEBExNlbw00vjaeFip5fuz47AKWMfge0EXrkxl69+LSbYzwlfdzt8bSrh+mQojEAqGU5stucfVkH8M7aQ/wfobB5JL+sMdKKOYnUR5nKL2nMp5XmUqCsJtqwzR/Eza+gs8WKLwXSz06snjiXHs/TGZXp7efFMaFuWnrzI27uPMrRdK3a9+CRhgf61zgb5xeWk5xRRWa1/6eRSKYaKponN0cSUz7oN4I12PTmUHMuwvWu5V1Bn02tnbMKnYf0IsLHjjTNHuJ2XCU5DMJApmGhwmWPqII6oAmtJx8vOiildgjh09SIlUcsgeQOcHgxpe/j0Rb1t7Ne/nqC8ohqAdl18ePnDkUReSeKDFzdQXtrYdKe2r2WbeL3bJvKrTdka1VN/MPHX2vMde+rj736/Rkahqt6zNHbHs+90TC2NSI/PQqPWsP+X0wR39cfY/PG7xZGXElBV6we0RpTxyqpJ6KK+hIoMTC2MeW6uJeaxz+tTEBVGQvgkKLj+2Dr/atham9SKln1Cffl21nDMa2x9+wX7YiE34HhEXJPXFpVVcScpG4Vh4/Hj7WFLx3aevPf6sN9Fvg/DwEDO53OGYmtRV4eLgyXzV+/l1fUHeGntPj7edYJBn//CpCWb6HH9Jd66P4WoMjcMKkU6yvUmhO1ta1RTMd/BhSlwfzPc+QhODfqv+/YABxJuU3hhNgCdbOLZPuAzXh2wjZFt9d5qInp79e8/mkiXLj2Js7Slosa7Tmz5GtfzUuju4I2ponF2D3tbUyRK/Q9kb23Krnef0pMv6CeSdH1GZJlU5J3ANSglKj784bBeqDo3BtJ2Qfl95NlHAb3A9Ufwr5GANWIVMomSMk0pOrRYKuo2aG4X6Wf7IIs6faZ/PW+1KR7dmOKp33zLKS/j9dNHCLCxY0HH7qy/Gsmy05cY3TqA94b3RiIInL+VyPFrsZy+GItMKqWkshoECAlyxc3egp7B3nQOcEfexC6xRBCYHdyRtnZOLLx8kqcO7OCLsIH0cPUAwFShZO3AEUw7upm5Z/dyOEiBobaCIYqbfCfpzxL1aAY4D6udOUe4FbHugiXrc3swx0E/KIj/CfuwERgZKKioUvHkG2tZ+s54nOzM6Te8NaIIJw9E8sITP/LG5+PwadmEXjJ6EV3dEjia2JYNt8Po730de6u6ZyqVSmgR5ELM7TRm/fI8330owdHRCDyfQKa05vlvpmJsbkROeiG+rT3wDfV47O+3Z+15VtamAxcAgcwSW+YvGceThlfxaNeN0gt7ibvgT1KaJUVlhgT45jK45UHkVo/2/PsrodXqyMsrQ9JEwkgAPxdbHCxNOXblHkM7tqzdEHsAd08bzDzNiEnJwfWhIPqtg91oHfyf49eKokhOZhHFNeZ+ji5WmJgbNlytCWBpakRVtYbSymqMTBSkFRRjaqCkoLyS8zFJVKq1pOYXUyejCdgrSljTcyIxUjcCrWqk14ccM8i/DEV39KojQKXTEFucTWZlCblVZehEHVYKEywVxviY2WBjYNygb9kVpcw9cwg5cxgpvcFT0gu0kmUyzPY6Fb6OGBgUIjOR8f5rQwn2dQZxGQbH3qXCthv4fUyxRVvSEj9hpGfTq61lVy5iKArYWpvx0+sTsTIzevDgIPL1BmVtDUp4pXsS66rc2H/rMiPrTfZyQU+8qmYVhB4KiQkGUkuK1HqDbfN67pJ5qnxamtviYVwXFFou6G9dgsALLepm7ZV3r2BlbMB3fYZwPDaBhSdP82yPtrzauzspuYV8vO0EuVklVFVqGNIjAHd7KwyUcvJLyolKy+botVhuxKXz4dZqJvdozbhuwZgZNZ6JOzi48lOf0Tx1aCczDu3kq7CBjPJrBdlnML8widfLDZmkm8ny61d4BZAKInONjvNy2WSO3bvBgBZ6U7mWzvb0MTvI2tyePGF7FjNpFSgs9PdY40OfmVvCU2+t46vXRhHi70z/Ea2xdTDj67d38OITK5n+fFdG+a5GknMMLIKh3fdQY/g+u90Bssss2HKrB/MHPNHgHjx87Im5nUZJcRWz3pDz0dLhhCj12WbtXPUbiRmJudy5FM+Y55sOOP4AOo0OqVREp9H3WSlXY2VcQla+GVt/jeXunCPY2UnJzuhB+1b3EXUCx6/7Y3bDml6Pz4P5l0Gr1YEo8ig1qCAIvD2xDzM+3sSnq4/x7owByOulLPJ1syUkyJVlhy/SNsANK9PfZ1+q1WhZ/M4OUpPzyM0tpSBTr29u09kbmURgxoIhuPvaY2ZswPqPntS7i5dWYvmAhHRqvUfi/S3cq3BgWcEUTubWCCqiQG6VCU//cArMPRB1Imtfmlg71urdJVqZCQeTookouM+u9KuodFpaW7kSka9XnQWYuhCRo7dU2thnCp0qw+HOx6CtwN73eQ4Fw5qoCHZqW3NQG8QQo5u8qozG1r0vW5Z1wczEAPkD+3NBwgRPBYYyOdj1ILskA0EAV+PGFjLZFaVsOh+BZSrkUsAzL61lcJ9A+nRrAeXJVKZLsFJaYG9UVLv/17/vQJadKWVZZDTDTW2RqPQrVgVqjKQqqpslYD2Guv0CQGp5BF3NNdjWW37Eld3D1lDXQDK5XpgIwFdtnqidgWMKc/gp+grPB3YGLbx18BhtnB15sVdXBAHeXHeItPxiXh7enaHtWzV4eR5ArdGy4ch11u+7yso15zgScY8Brf2Z2rdtI4nYwcSUrcMnMuvIbjZH38JAKmVQ1AyozKSzBGZymo261kzCHCeKGaaI5KgsiBXXbejvrw8FiW03Zgd+z4kLhmzK68osl2vQ8jWAWrUIQGl5NS99toPDq+agkMto3dGbH7bPZfEHu9m7/gTnFHKe6aUk0PUEnB0JHlMgdikOJkV0cIhlQ2QvepV0pr7VcXWVGolEQKcDVZWaN2auZvHaZ/EPqvOA02hFDK3MkSkf4cpdg8yUfASdjg8nb8fTLg8bs1IEAU4VfcXOzWXM+XQCDi4mOOUvxEl3FEGAeSuf506CLb0eW/NfBxdHS8xMDLifVoC7q02TZQK8HHh9ah9WHrjMc9/s4J2n+uJppycLmUzKqJ7BZJ++zIyft7N02nBcLC1+c/sR4XFcPx9LvzHtCGjriVatJSutgPTEXK5ciqesRhX1AIIg1JEvQOJqvSoB8DfKZInR19wxd+HtK5PJLrXA0bcIC6UFZRIJHg6WeiuXwPf0KbJ0KkQRTli9zCdHj5JUWkgHexcmeXYg2MqZFmaOmCkMkCBQoVGRXFpIXHEeLciBC09Qm0I7cgEt2n3PZwaHeF1ziC1iO5ZIenFW6MTygiRaW3vxMOwMrbhXcg1RFDGR62hrk4uJvKJRuStZabjaWlKG3qU4t6CMNdsusWab3sRPKZlFNXKGe11ijPcFvFwsEVxH8EzbaF46dIhLQd/SJXE2aEoxMDWlSCOlQvhjAXn+NB2wIAi/CIKQIwjCnXrHPhAEIV0QhMiaz+D/dbsaXRllmkyUkjqPmezqfOwNrBuUC8+9h4nMgC62dckuv7sZjqlcybMBHZBLpbR2duS7kUNRSKUIgsBHUwaw842pjOocVEu+5VXVFBRXkJZdyIUbicz7ZBs/bjhHeUkVEhF87W1YujecyZ9vICo5q1F/zZRKfho0imqNhldPHSa+uM6u+CnJRSoEA5YJYQDIBB19HY24mZvPiUT9BIIg0HL4Zqa2s2R58RCSulwDy2A0Wh2qeqls0In0au/bIIqVmYUR7347iWfCjpNbYs7qs71YcmQwVflJ4DdPn6TUoT8TxrVGKhV45+3t6OptOlRVqtDpRASJUOPapiM3o85fXg+RqkrVIyO0PcC9yBRahLjToYMltuZ68o2rnsiit+8Sez0RdUUl7fu3xXnSHoTh8TAiGbfOPbl6Ofmx9f6V8PKwoU1rd37acJ78wrJHlhsdFswrE3qiNJMx+ut1fL33DMUVen18Oz8XnundHiNTJSO3buJgbOwj63kYOgHM7c3xbOFEhx7+dO7TipFTu2If5Ey6VsuajRcfe71YeLs2pGV+mQnrwnuycO1EqiIMMI+r4iuvzXw3awQ/zxvHuxP0geBx7AfD4kgL+IFnhFU8d8eJFoZ2/BA2kk39J/F60AAGOQfiaWqNtdIYS6URzsYWdHXw5Cn/9lgUnIWHjdQKb0Kf01h4jGCWuy1727Wnk7MLL0Wu4lxO4xi9rUxD8TcyoqD6DhZyC7SoKFTlNCp3MzeLJFWdFcqDDXkDhYwOwW68N8WYucEHOZcRwPK7I8nwWQHAID8/WrWwYI/GHEZlwKAbmPXXO8sUq6obtfN78GdKwKuBpcDah45/K4ri142L/2+gEfUPRCbRS8BaUUtuVSE9bBvqCeXSQka6tkJWY6aSWlZAqVjO9JZtsVAaYqE0ZPXEhramPo56qSYlo4Azl+PYf+I2tramXL+X9sj+LBgXRr+2fnyx9RSfbTzB2O4hjOwe2KCMsVzBDwNGMHT7OpYxnq/E5cgEHU4UM8kwgxhZGGnmzrjYBzDCczpL129kyeWL9PHSZzpAkPD0oHHsil/Du4eus3aG3ozIw8kKG0sTxg4I5dDR26Qk5bHjYARjBrfRh3eUGiKYeNK9izHt3ZezMbw72650RSMYMWuUPcatXodWr2MMdOy4jQsX4vng/Z188OEYJBIBuUKGIEDnnv4MGNmGw5susei1zVhYGRNY4yEnPmwA2gTSEnPIzy7iiRcGwMC5kH+VgkKBdwesRaspQRBgx5LDDJ/Vl4KsYqQya6wdLbCwuktx0R8PiPK/glIpZ2j/ENbtucJz721mxhPdGNjBv0lrmX7t/Gjt78z3By9wNS2drT/+yuyuHZnSJphOPm7YW5vy8uFDvHTkIKfTE3m1Y3fsjB6/+da+mx8bVpxmz7arVKk0hA0I5MeVp9mzJwKAW7dSUau1dcv3Guh0Og7uuMbV4x5cufo2AiJaUUp9QzWpVMR7zKFa3e4DFFRUsupCMldTzIgtzeftXmFMbROKVCJBFEX23o4m2MkBD+t6lhGqIn3EM4sgMG9YH6A/ZtMBbPQxnr2Bha6VvHIjn1M5R3E1luBhXGd65m0aSmLBK6SV7iDE9gMmO1hioNsJDG1Qra2xEe5OZlRQBICdjSmt/BwpKa1k0Yc1mVoGTaTdvUhmfRPL8WgDprbQb6w7m5hxJSdVnwXaMhTzGuItrn70RvZvwZ8mAYuieBZoOoLGnwiNTv9AZIJeAi5VV2BrYImTYZ3+t0JTyY3ia7jVS5lyKD2aq4WJTPQLqT1WrlI12OXUaHVsOxjBky+u5sjpu3i52dAx2IOXp/Wmhacd1paNXxABgbBgbza/MQVzQ0M+WnuM9Ucf2rkXdThmb2ehQyy7ytzZYTQNFFbgPIynu77MlTwNvyhGg98cZHJDnu/QiXt5eZxISKytwsbEmDcG9uR6Sgabr91CJpWwadF0Xpjeix7tfPjglaHYWJuyeNVJfvxoFtp9gbDXCy48CW2XYGDpxoywU7w99hDHogP4+uPDtVHNAGbO7A1AeHgcr766kdzcEua9PZS1h17hvW8n07FnC+YtHI2DqxWblp2gIPehiGwPSCjzKBwPg8Md9FHOgK0rTlJaWE6H3q04uukCaUVufPXKKQqzi9HpREQR8tIL+HrmSma2e5MXei8kPSEbMwsjqivVVFc9lIzxb0T71h68ML0XLYOceeenQ7yz7jAxGY2j1wHYmBrz4YR+vDeqDwEOdnx2/AwDflzD0aR4PCws2DZhIm/37Mnu2Gj6bPqF9VGR6B4zo0kkEj75YRoicGzXdcYM/qaWfEEfePzevcYu4vtW72PvL7upLs2nf3cwNaxGeEgqlSuVDcg3MbeA709eoM/3P7P6cgRe1pasHj6a6e3aIJVISC8sYcGuw7y26zAbr92svS7t7q/s39qPXUefZcP+wewrLiPSYz7FEmOSK205pHsGfBvG0wYwlRvybeunMJIlsv7+1xSp6hIVyCWmuJuNBU0iGm0ursa+lKouUqluKBiZynTEVeTQ3TeJJzrmsO7LQbTycyS7sIz45BqJ2dAB79CBhPg7c/jM3dpr29m6cr+skNxK/crGRK5AKgiUVP8xCVgQf4uI8t9WLggewH5RFANrvn8APAWUoE8S9Iooig+vWRuhXbt24rVr1x5bRpc3ApQ9SBG9SSndTgf7JRjImnZVjS1N5N07X/Ka/2zaWekJd/ypn9GKIjt6P1Nb7tOjpzmbcJ+9z04BET5YcpDLN5Pp19mfmZO6YWXRmHAzcor5bv1pzl6LRwCO/zKvNgC1WqPli40nCb+TzMxhnWo9pLj+Mtz7FlGEUeVzyZE4cWb6glqd8Utn93PkfhwXx8/GXGmARqfjqS07ySwq4eCzU1HK9AsZURR5ddtBMvNK+GBUP9TVGp76YjMzBnVg9vAuaLU6ln+7iGuRWTiZFPBu500Yyav1Qc+dButdio1c2LElkjMnbzNugEj37l7g0IeS0mpGjVyM/ncEQ0MFr742hJ49WzS4/5SEHOaN/I4p8/oyfmYvboTHsvTtbbz81SQC/LVwMEC/2VODmyZrWPNrISFdfVAVV7Bj6RHa9wvCJ8iFw6vPUJBV1KB+QQBBIWfEzL5MeWMEKpUGSxuTJjNuNLxOuC6KYtNRmB6D3zL2moJWp2P3udusvXaTxNwCJnQKZm7/LqRkFvD2z4f4+OlBhDzkFReedJ8NtyM5kBNLD2cPPurSFw9zSxKLCnjn7HGuZaYT5uTJa12642tt/YiWQavRcetaIps2XeT6nXQ9ldakSZo2rRvTptZzty9LZOMbz3Dqtg8rZ65CUJjB4Fuk5Bqz9LP93L6WjE4nYmJhyKajr3IkMpbNEbe4kZqJTCphdIcAnuzQmt2n7rDhRAQ/vDiaAk0VH+w+gauVOaM7BjKhTRDx+QV8ffIMlQUnOadwp71BIvEWeqEo0MKW+PQc1Bet0aph5YKRdFCmQHkyOA4EwzpD85yqNJbFv0lnyyD6O72IRNC/Wyp1AvezwzA3fgIz0/ncyn4eb+OuWFu8UnftmScZmevAMN1t3tQcAZsuZLU+xOJfThIZm87TY7swJCwArVbH829upKWvI2/O12/QF1RVUKXV4GRc5wCUWlKElaERxvLH72/Ao8ffX20H/AP6FUUokAkselRBQRBmCoJwTRCEa7m5TUsQDaDLAV0xiGWUqSKRCI03yB4gvVKvi3U10r8ARdVlqKmgt1Od22J2aRkbr9+ijYsjCplMH7mropqZE7vxxuwBTZIvgJOdOV+8PIJt3z7N4jfH1JIv6AOHvPlEH7ycrPli0yli03JB1EH8ipp7hhcUxzBVFXIsPqb2upmBHajQqFkfcwPQu0HO7tSelKJifrpcJ00LgsAbA3uSVVDK/DV7cLQ2Y1jnAFYduMzK/ZeQSiXM6x7HCJ9LXMpowdzjs8kqt4CSWH3gETNfkBkycqApZTkxrF1/B93JAXBmOApFnbZKFKGiQsXS74/y8ATu5m1Hx36B7F53EVEUKS2sION+PibmRpBxsAH53s+25KPXrlFeUoG6RE++ANdPRjFyTn82JSxh3b1veXPNHLoMe6BCEhBFARMrE0wtjLC2M/uP5Pt78bvHXj1otTo0Gi1SiYQxPUNYO3s8EzuHsOXSLQZ/+Quv/bifjLwSPlx9FPVDJkxdPd35fugwPuzch4icDPrv/JUVNy/jYmrOhmHj+Kb3IK5lZDBs03qWXL5Ym87qYUhlElp38uHL755k9+4XeWJSp9qAQGvWnKekpN4GVdI6/OyTKS43Yv3ZboiqEkhaj5uHDV/++BSr971I9wEBuLZxZvCHv/DOuiNYKg15bWAPTrz6DB8M6YuhIGPL6UgAXli+h1c2HsTT1pJvJw1hYptgfj1/nfd2HCMiLYPOQiz7ld+xhp85XbKIvdUbGKBoj+aCDdqaofHSgTV8celTii7P1q/Scut013YGLjzrMQMzzQoS89+tPa6Qe2Nu/ATF5euRiOUEGnkgrViOVpNcd23WDkbobuEsFukP5F3AwbSK2U/2IKyDL4t/Ocmuo5GkphdQXFTJ2CF1QbmsDIwakC+Aq5nFbyLfx+EvJWBRFLNFUdSKoqgDVgEdHlN2pSiK7URRbGdra/uoYvUgoPdtEWu/PQr51dk4GhhjU2MrHF+eTglJdLGrk0hOxiXi52DDM531k5ZSIePbt8cwflBrou88Wuf7AC72FrRp2TiOglQi4dNnB9PWz4VPNxzX60ildRYbPeSxFGmN2R8XX3uspZUd4zwDuRSXVqsS6erpzqAWvvxw4TJpRXUbC7ZmJiyeOozs4nIWbDrIG5N6M6xzK1bsu8im4xHgMpzRfhf4sufPZJdb8va5p4hTdWnYx9iveKLdCZILHLiY1AIyDqAoutSgjKeHDV98ObFJ/WaLUDccPGwoL6umKL8MR3drzK2M9aliapCRZ87bP40kINCAsCHBbP/+SO05nVbH+T36icXOxZqwsZ14f/MLvL9lPm36BOIb7MrYuY83a/sj+P1jT7+62XXiJi98voMeM75jxqeb2BN+B6VMxtsjerH9hSm4GpiRV6Ozvp9dyLqHVVHox8dTAW04OfZp+rr5cDQlnuF71xKVn8NQ3xYcffIp+nv7sPjSRWbv38u1jPTH9svU1IAZz4Sx78ArhNakbfro4z16kzkAqSFtvZIY3vYaR26EUFxhCFLDB8+BC5FJ3DPXcEqdh4+TDT/MHs3304YzvVtbbE31QsgPey/W1qdSafEztGTtM+OwMjLigx3HWHbiIk7mphyZNYPn3bIJkmRgLGjQVEtYkzqZxeuuoNHUvLcCWKRXs98gmCctphOFGUR93OCeXEx6YSBzI6d8G1klG2uPW5m9jIG8FZVly1GavgaCjKqST+suNPHmdc1Rpmov678rrUFugbuTFa/P7MePH09icFggrfyd+HXJU/j+BYle/1ICFgShvvvZKODOo8r+F7Wj302tkcgeYQwPUKguQBAkSGs24DIr9d49Lka2egkt8xhnY25QUl2Nl0095wOJhH07rvHCM78QcUWvf024eZ+s5MZS0q3I+0wbv4zUesHHH8Dc2IB+7f24lZjF2dtJEPBOXRuCyCAnQ04lJ1NRL5XKIOcWXIpL40Rcnd73zT498bex4dsj59Hp6iTRYDdH3hvdh5iMXL4/HM67T/blqb5t+Wb9aVZesYIOP9K+pRHLx59HYeLJK59eJTGp3j1UF9DT+zbt3e6x9YZ+uSrRFOLkZImvrz1+rjZoi6vx9GyanDRaHXdvp4EoEn0rlcpqHebWJno1h/tEcotN+WrLANQ6A6Z/8AzGJoa1ae6FGmuJA6vPNKq3y9B2fLrnNb4/8z4GRspG5/9O7LlwhyV7wjEylDNlSHskUgnLD15k0mfrCY9JxsrQkNTUhtq2H/Zc4FbCQ2ltSuIg/QD2ci3L+wznueAO5FVWMHzvWhZdP4eZUsmSQUNYNWwkZSoV47dt4c3jRymsrORxkEgEvvnuCV54oT8JSbns2F9D/l5PIRi7MqVHOEueXo2FnR14TkUURTbuuMy3Px7HU2nKttefYMWc0XRp6d5g0j0ZGc+By9ENNMYp6YWcuZXIE8s3s+f6Xd4aHMY34wdgY2IMPfaQYPoE36ROpd+1heyIs0Zbz7JGFCGzyJpleZtoqclijsVkrlQ3VpO2stcTb2Lhu+SWHUQURWRSW2yNRyNWbkOrjsTAZA5q1WVKq2r04O2+1yeLBf0k0/Z7kOolWEEQCPR3wrLGW9Oqif2cPwN/mhWEIAibgDDARhCENOB9IEwQhFD0LJkMNNa2/5eolHogFUwwFGR4GAY22n7PrkrnQv5xetgMolBVhGU9V+WMyjzkEhnWugrY3x7K4lFnP0MHM0u9iqCGzKur1Fw8d4+OXXwpSspi/mtruXctkbZ9A/l0z4IG7Tk5W1JZqeaXH0/x7sdjGplhDe3UiuPXYjkTmUDPaS+DTWfICwfrjvQuc+FM9kki0zLp4qn3furp7YGjmSmbbtxiYAu9qsTRzJTxrQJYuPskwc6OTOtWt2Qa1T6ArIJSfjhyEXneOZ43+pxMh3H8tAduxrqy7PVI3IF3ehTywoJNfLP0KO+9ORw7G1PwnoE0Yz9tXBL48cJgksqD8XTox7r1esno6P6bLPn8APGxWfj6N85/V1hYjqmNMQZGCiIvxBPaxafmpRUoD/mV9z5fQpWymo+3TMMjyA2PID/6T+nKtRN32LXiOHcvx5N4O5Uf39nMrI8b+/P/06DWavny3Hn6dPLis8l1Tj1XY1PZfP4ms1fuIqyFF8aGito0RQA6UWT6F1uY2r8t88d0R7jzMdx+HxBBbgZhh+nv3pkODi4svHSSn+9c42L2fV5p04M+Xl50cnHh+yuX+DniOscSE9gwehz+Nk3bHz/AiOFtuJuczfI1Z2gT4o6Phx0MvoWQshUrBHAbDwpz9h+5yY9rz/HkuE48PaVbk2aEh6/G8NZP+gwoEomAp4MVXo7WmBgrWLjnBBpR5IfxwXTJngZbIsG6I8eVn7D0Yi9EAZ7o5Y2JqRK5XMqtlCyuxKciR4KqughZtchbZYeYZz6RF2TB9IpczychU2rJ30DmhI3RKPIqdhGXP5essnZ4WL6FifEMVBU7qCx+DxObg0QUH0Ja8DUdHDcg2IfBqDS9G7t5q98Us+JREEWRDSmbCLEIJqgpS47fiD/TCmKSKIqOoijKRVF0EUXxZ1EUnxRFMUgUxWBRFIeLovjH8zrXQKO+h05XgJQytOrztTZ+D5BXncXZ3EOUa0spVBdhWc+DR0RDkLkrknvfQpl+6X+x0g+rqruQdby2XOT1JK6fjeHu1rN8MWMFsRE1UZUq1cTdSG7Qno2tGTPn9ObSyWhuXEnkYcikElxtLTh6LVavC7TtDC1fBbvuBDo4kF5QQnRWnS2jVCJhQmgQF5JTSC6ok6TGdwimdytvvj18nuiMhraPz/XvyNggE366bcSatPZ8FLgaJ4M8rkanMmje92w8ch2pUsqXH4/jfloBi74/otfpuo6CHnvp38cDuUxkf8G7DfLcdejmg8pAwtXrSU3+Folx2Ti7WnPrehKWblZ0H6yPgFZWUsHTA77mfmIRcz+agG8919ry8iqO7o6gUqWjdZ8gzKxN2LX8OHtWnmiyjX8SkouK8PK0pkuIR4Pj7f1c+WzqQJ7r34nozBykpjLemd6Xw18+y+b3nmBEj0Bkcglrj17n+W82k3jpB2pXcOoSuPkmABZKQ77pOYSV/UaRXVnGpCObePHcPsq1Kt7o1oN9k5+gj6cXXpa/jVDmPBVG6yA3Fq08TkWlSu/N5jMTfJ4FhTlarY6Tp6Lp2cn3keS7/UQkb606iI25Ea9M7MGVZS+w7f2pDOnckhsJGdhbmLJh7kS6ZDyvJzzgSFQ1b629gY9hBr8uGM8rY3oyq38nZvRqz+JpwwhfOJtXJ4ahdTLjw+r5XDV6gu/99dY3p3LuMOzMJyyNPcjd4lREUcTOZHRtf0qrI7idNZqkws8wsvgMUaygvHI3rmZPU1QdSW5FTZYRmTE6my6suBlHcdXvNyGr1mgQRZEqXRXHsk+QWvGf1ZGPw78mGM9/gqomhbRcUGAiNcZWWbd8LlSXUKQugYo6fZoWCVJRC/UecE5uKc7edui0OhBA1IlIJALpCdn8+uF2RFFEW29jpfeAIHxbOBLzCJ1xiLcTrdzsSM1puDS1MjLEztSY6OyGqo2xwQF0tnNmV3id5kYQBBaO7oeFkQHfHjpPeZWqwbm3g2IYaBXBxpzuHMpvzZauX6CQqMgvVbN40xmGv/ITC9ccpXe/lly6msipc/f0F7sMw2zABnr0CeLi5UwqK+rqtbAwxtbOjISExsbuAB8vmcK7X45n+7qLFBRV4BfgzNZVp5nY9ROKC8oJGxJC2656BxidTsfBzZd5ecIPJN/LZPC0HnyyZR6bYhYxdv5AfnhrC6s/3d1os++fhKyKUi4Vp2FvadronEImY87AzqyYORp7cxM+2HycN9YdokKt5videCRGUmaP6Excej5zrz/D+3cmkVxeMzYrGup3uzl5cGzE08wP7sLB5HvMPrmbFbcv42lpyRf9BjQZe6QpmJsZMnl0B6LiMvlyZeON1KT7edyNyaBXtxZNkm/4jUS+/vUkT/Rsw4FPn2FKr7ZIJAKHrsbwyo/7MFTIWfnMaLzMRSjRbybvyOzE+3GTGOJ0jY89FmJVuL9RvYIgMCygBYeenYbE1IP5cYHcErqxoKU+Q0W+qowNyWd5+vIynri4GJm0fmyMmiBOuiJkiraUyPtwv2gRDsa9MZJ7EF+0DK1O/27ey8tj8aWLTN21g4KKxh5zj8MnZ84wbccOCqr076y5/I+FRf3/hoDV2XpJVnF7IWkVqWjEuqWgVtQiE6TgXrfcdZIVUiaYgdOQ2mMFBWXkFFfy/dkPcPSwQxAEdDoRjUbH5AXDGWY7kyPrztWWVyhkGBnJuXJO781UX08LYGFiQMS9NErKG9sShnl4Inko24m9qQn2MmO2X7xNpapOP2xpbMg3k4YQcS+VdzYeadCO1K4Tn3hsJNjwPh8kTSKyzJtxruHU9z66m5SNhb0pPbv6sW3n1QbXDx4aSmFhGRfDG0bwcmlpT7m0aVKUy2Xk5JRwOyIZG1NDpvf/ml+/OaIPH6iUseBLfTS3e9EZvPfKFn74eC8OLlZ8uu45hj6pT4QqLbzCjDGxDBzjyc3wOL55eT0VZX/M6P3PQkGVXv9qZVi3ShBFEfUDdUNpPN4pr/NryFre72vKvfRcXvppH8UVVVRWq0ktKmHr+9Pp75bGyewgxl9YwNu3nuC+2eRGbRnI5LzcujtHRszA3dSSz66eoc+On9mfGPO7Jqn2IR7Mnd6LyMJclu4Nb3AuMSWPSlGLp0djdYZOJ/LNryfp0dqbFyb1qPUI3XPhDm+vPkSotxM/vjBGH8dCYYXOxJe1qWF8EjeeDpZxvO6/EwOpGvKvPLJv1sbGrBg7ghAHe5aevkSwoQ8KSUNtqanMECOZEwI1UdAQsDaZja+13rDK1mw2OrGcovJdWBm9xpLEQK4V6FdsLW1tWTZkGGYyBZPWbCU5/yFLWFURxK2Ae0uhSi8ElVepeH3zIU5ciMXX2ppSrd7O3aKeKvO/wb+GgKXyIASJNRIMMZQHN9QBxy5HmfAjgdVpyJLWodGUI61361pRp9+QcxkOXTaBQ1/kckNyrIc2sEGUGyio1InYuduy5OwHBNZIcVqNBoWBHCs7M+xdG9pnWlga4+KuP7Zp9xVGPb2C6poYDaIIXk7WSKWNpQyJBi7H1sVsLS6v4uztRCZ2C6G0spqDETENyrfxdObFId05cTueFUfrWSy4jkXe6iUWem3FwyCHV+Keop11HPXtRIZ0bcXUIe3p3tmX6HuZRNy8X3suMMQNS0tjrlyMpz6qdTqKypre+NFqdCxddARTU0MSotLR1LhECwKEDQ6htKSSJV8dYt4zvxAbl8Vr307m87XP4uJVExbw3lI41gXJ7beZ3/0t2gdmkhKbzZx+X3Bo7TkKc0qabPfvgrFcQYidA1YGegJe8v1RZkxfxeuvbeaVdzbz3ZfvERtxEEnmQUaXPss7YQryS+tCK+6+HEVqYQkvvvgRe55M4clW8WTIQhi3yZJP15+gpLzxxONpZsU3PYawfsB4jOUKnj+9lzcuHCahuPGm76MwblBr2vm5sv3CbY7dqZtgjYwUePnZ1VoU1cftuAzsbE31gf5rzP+OXr3Hj3suMqCNP0vnjsKkJnFmUXkVLya8xeLk4Ux3PcaiVr/qyRfA7vH5/MwNDPhm6CCSsgt4e/cJutvo43uLInibOLCozXQkEilmBh0xkgdyp9qH5GpZrY7YUNESb7ut2JhOx8e8G5mVcvam3aitv4+XF/M6dKakqpr5O/bz6ZHT3EjNRF2RB4daw9XZcH0e5Xvb8vmO/XT78AcORMRQXFqFVbqE7765QtZPrShM/c2Pu0n8awhYq7mLqM1GQINKfRPx6rNwdQ6U3IPk9cikOkrMjEAqoBVAVlmnfjbAHlFTs+zzmAi9jxHo2QbxodnNwkK/Q1pQUIaZlQmf7XsdI1NDyosqWPfxDpx97PFt7VFbXqyxAlDXEFByqv7leJDtIDevlJTEfCwfzqqafhCbsnMUlFWgVetJbse5W7y4fA+uVub4OtqwNfxWQ4mn6A5TPBIZ0dabVceucPZOXawI2nyNyYgbfN/5Jr6GGfxSMAInK4Pa08+N6YJUIqFHN3+cnSy4ebtuVEkkAl16+nPhUlwDydjYRImNVZ0nYX3s3HqZ2JhMnn11IO361MtWIEJwBy++/HgvB/ZEMGJse37dPJse/QIamrPdrTMdkkhgcuvlPPPWQBzcrFjx9lY+nbGCRc/9RMy1hCbb/6vR18ObX8JGcudaKq+9tp7duyO4n1pAiFseDhYl7IwP4bP7Y5gVPYubpe5suayf4Orf8sylO0gtN8Yq7AfmvbaCRQtmM7ZnCDfupfHEe+u5FZfRZNvdnT04OGIaX3QdyJGUWAbvW83KO5cbWBY8CoIg8MaE3vi3tOed3cfILimDyix0OZu5Rh5XYq82uub0tXjuJGTRrY3e1TwmJYf3fj2Mo4mGDwZboqyJNRKblcfza/cQlV3NGxN7M3dYR+RKU5CZQuC74Dq6Ud0Pw8nCjHcH90IqETCp0uu3DSQKbBRWGMv0JB9gv4ZQp704GfekWJ2FWC+pgolBZwRBilIqp79jEKey7lKmrpvMOri7sH/mE7S0t+X4vQQm/rKZNovW8XxMLybGvkhg5Dd0vPoi6y/HodbU1btpxxWiIrKozNIhqfpj1jj/GgIGCSIiQple3yqm74C4H+BoZ5BbIK/R/6glUoKq0zBW1unrqrQ6Ykvq6TMrM7GWlnEmPqmBK7KLqxWe/vak1QSckStkTHtvNIYmBhTlldJteDvMrOvqvROZQk5eGd37BaLRaLl8LYmu7eqiOcWn5GGolONkWy9HW+wyODME25IT6EQoOD0VgO5B+uvCo5J5tk8H8tNLuBiVrL/m5ttwMAghfBzvyKbRx8ecN1YfJCGznjRk7o/TiCMMGPAM1wodcPVyYFyfUFp42lNcpleBKBUyfHztOVrPBRPAw9MWrUZHXl6de/HtnBy0Jo2HT1JKHuv2X2PEhA4YWxhxKSkb21YOtQQb3MGLp5/rzbJfnmbqMz24ceM+2zZd4uM3trLk0318sWAr28/4k5Rdz8RN1BDU3pXPNs9l0YHX6DQgmPTEbNZ9vIvku39sE+SPQKvVseT7o0yYuIxx45fywQe7uB6RhqDU8t2o5UxzeInXukewf+AH9LCO4l6FE7PvzcTQUMrU3m0Z3TmQzi3cMTNSUqlSM/SjX9l4+jpi/jWsFBUsmNyLhU8PRCYV+PCnwyzbfp6Kejr+B5BKJEz0D+boiKfp7uTBtrg7vHb68G8KFi6TSnh7WG9UWg3rwy/BkfakZB6g3A3ejI5m8Lof+enGNfIrK9DpROKz8xjSMwAjAwUqtYY3f95DB6tYFrm9ivJUFzg/kVN3E5iyfDPphSV8O2c443uGIAS/D+MKYXwJBC/8zc94WHALNDqR45cz+DT4Cfo7tCW+NIdqTcPn4GTgT3rFDap1TccGGerSmiqdmrM59xoctzY2ZnJgMF8PHcii0YOY6qvDXZ6HRU0WcolQZ5/cCBJoG+zexInfjn8NAQtIAC2SXP3yW/fgzlSFYNUGuaBfHqolUjKNHSiSCnqy22mPRcIKiqpLEHVauPUe7HYlJPNTqjVaYlPqoi+5u9uQkJRLXL3NpxGz+/P5/td5Ycl0hjzTu0Gfdm+5gpGxkvZdfLgaeZ+i4go6tvasPR+fmouXi3XDjY57SwBwk+Xhrs0jPfEqlKfg42SNo5UZZ28n0ifEB5kg4dO1x9GVp8PdL2ovV+qKeM1lC4YKOYv3nGugKwYY21VvkXA27j4d23iw5r0p+LnVkV0LP0eyckooKq7bnDAwVVIu6Cir0VUXlVaSkVdCS4+GhuoqtYaPFu1HkEpo09GT9z7ahYe7DctXP8tHn7Vi+lRTrI1yyc4vYc2mC3z4wS7ef3cHJ47cJikum4KcEu5GpnDkTmfmrHqGdzaNIzrNCTyngsIcQRDwCXZjzLyBvLriWdLiMzmz4/KjB8VfgNOnY8h9KO6FT8h9gqxqVhFZhzH1GcV051McDP2EWR7hXCmwZMe1WwyQrGSF5TjOhf3KF2MDMDOU8cXOs7y/9Gvyt/hD9CJaetiz5v0p9GjjzeoDV3j5+z38dOAyOYWljfpiZ2TCql6jGesZxM64u7x66tBjY0c8gLu1BZO6hPLTtdvklRThKq8L4RJTVMon58/w2rHDXLiTxMW792kbqHcwWnciguTcMiY5HseiJvzjthvJzFu7F087K7bMnUywW2MzxQfILSzjyq1kbt9Lp7C46c0wQRCY2CEIDAUcJPa0tnaiTJdJVnVDva1SYoSh1JQN8RMbSMEAlKcSnL0Hzwpr9t5ubLmzeMdZnvliK9eOxuJW3opxRvf4wWsVd0JfJqLtQj4ZFoKzVd1mmyDoI2VYe5ihVPwxS95/TTxglcwfmWCFIMlDqNKhFfSEDIBlCErPYdhlfomm4wpMC29SWp4CN/Qzsb08D3uhkJLbX2AepU/FHqzU619vRqwnwPNLyLuE+ZVZOJoM4t75rTDUHQz1kl2L9t6N+pOTVUz4mRjGTu6MgYGco6eiMDM1oFPbB1HCRCoqVbT01mcW2HY8ko2HrrOlpxIF4KIoIKPShvuV9oRK5AiCQO9Qb+4kZaHWaOkW7MXuc7dZvucyc2ko6dgLSXz0xADmrNjFulMRzBzQsfacTCrB18mGuIw85q3cw7D2LVkwOqw2aLy3hy1+vvakZxVhUWOUXlRciVwuw9xcP4mF300mxN+Jtv4uDdr9ZWM48Um5fP7uaG7fTMXO1owvPx2Pye2ZtC3fgMTIiwVvJHHzvg9mZkYMHRTC1KndaNnKuUGErtLiCo798gsRl9W8tMaXoVXteTq4GsN6zhdOXnYEd2/JgZ9O8uTbo/7n7si/BVKphIULR/PSSxvRanUIgkCFjUh7/3r6eYUldN0I/vMxqsxkmkM/worUfLP6c3wqD4NcBwXXGKieR9/BQWy4ms/J9BAmX5zPwtKf6OgxGVNDW17w2kZYx2PszO7K8r1BXE5IxcHalKf7dcDDrs78TKhJ8ooIe6Ji2HrnNhODHp8IFWB0aAA7rkcQUeWJt2Fd2FQBUMpkzGzTnqOnovFzsyWstQ+ZRaWcSkhkuFc6nS31m8ybijvzfclAhrYw5v3J45pMzRWfnsflO/fZd/YO1SoN2SlFBPk5ER2bycSR7XhieAfMjBsmMAhwtCO5uIiE/HxMrGRYK03RPkSyOrEMQcxDIpgg1HfCyr8Kx8MQtBV4VoznREElojiigcpr0XPD2XfxLrcPRPPz9mR+5gnsrESGtCsjtO8wRnTvjrw0koXrjhHQxoW0hAwqEQn2cf6Pz/U/4V9DwAWqJJRyOabO48ksvo6DrBgj1GDdEZxHYKLNQidJR2VsjmmpGWUVdRtN9ppSYgUHYrOu077mmIusAHdZDvEFFaDTwLmxUJlOPx87jiS3pfLEOAwHnwZJ06Y/+7ZfpVWQC8PGtqO4pJLYmEzGDmlTSzRZOSUk3cxkRGf95kJxaSUZucXIAhbA5ak4GxQgFzQkK3uDoV6K6Bviy5b9EZy4EsvLE3qy+9xt1py6T7suA+ikrHPlxeMJurTyoHeID78cu8rYLkENsisEuNkTl6GPJrXvajQXYu6zdNZIWrnaY2JmSFR6boMNtpvJmZh7WmBZowPfHX6HnJJyWrrXJVW8ePc+R6LjmTSmA13ae9O5nReTJ3TClDSqE7aw8V4ffokaiINRAW8MjqTnc+sbhUV8AFNzI0a/NJdB5dWsWXKcOzeSeWHyCt79djKu9bzvpr4zmpmfTvpbyPcBAgNcePmlAXz19SF9hokWErpJaza0JHIIWsi6nZdRqbR4uQfQ3dEQd1sTvnNdDLp6y+jSWGSClGlO0XQ1i+Gt208yL+JpppmfYVabLGRxywgxgxCzWJ52sWGL4hu2R2SSV1hGrxAfxncPadCvmaHtORIdz5n4ZMYHBjWyi38YPrbWlGkF7hBKD8mm2uMGMhlrR45FVimw61IUL4zshlwmZdHBc9zNyOGLCSFwB06Xt2Rh3hh6miTy8aQXkdUjX5Vaw4ELdzl/J5nTkQl42FtiZ2ZM12BPWrrqN14v3khiw6Hr5JdW8MrU3g1iqAhSAZmFgMJASoUuD4UsAytFw32TUnUmEmS4Gv8/9v46vIpze//HX7Ml2Tvu7kockuDursVLgRp1oa60pe5ulJYWSqFAcXcnAQIB4u7unm3z+2NCdjbSHnuf8znn+7uvKxfs2WN75pk161nrXvfqa7Kc9A9BL3nX8YZCztSFU1FwDHd/42zVwcaCJePjYXw8tdXNnD+Xw7lTWfz+xxXWrtuBXL5T8ngFgbLESmSA3MsGG/N/vhrzfycEISgAHUoLqUpMF/kMDNsBY0+D3AxLhTRdbtVV4GPhj0ppZCvEiFIc8YpFX1Dadu0P+inz2VkVQEd9NrSXklnpQUaeFxWN9uxIFKTOEbdAcX41W9efw9vbAVd3O/YfukZpaT1DBxjFfjKyJS8jLETSn+jU6lAq5MgCF8H48yhiVuLjqCZfPqB7m+hgD/w9HNh+4hoWKjM8HG0QRZFHz4zju8ZX0LuMhbjPIeIlAB6bMhgfdzv+OH+NnvBxsutx3aC2uY304uthla6YV1dYpFOj49zlfOKjfJDJZGSWVmPQ1DDf/SiyveGQ8TnVjS28umY/CgslSxcM6tqvgLW1isaGep48vYyfM8dwV68jrBv/EWOCsm5rfHtCbWnOgy9O5r6nJ9DRruGrN3dSW21kQDh7OmD9byoZ/TNMnBjDXXcNwiXMln6DvAidsA36r4YpWeA1leaWDi6nl/DKJ7t45du9nEzOBccbDIWlr1QAAwRZVbC232dM97nG3qRGnl9TQ02HMbfgo67hWcV97HxEMrp7zqZx5oaptSAIzAoK5+i1XCqabg5X3ArutlaoQ+9DFieFwWQIbLxjAXHunpxOLcDB2oJ5w3qTkFPE8bRc7h4ej2f0XZT1Xssn2rkMdGrhk8UPozA3TtcT0wt54fvdvL32MHIBnlswklXPzeHb5+ewaGI8cZE+xEX68Ohdw3nz0ckcTsoio6DS5LyyGmtwt7bG1dKKjIZ0nBGx2xcDJ2dCSwEAcY5LsJDLUclv8Cl1xpiwq9BEs05NdfPtr4ejszUTp/Vh5YfzWH3oOUKjPNHrRQx6EUOPRJygUmJ3i1Zjfy/+dwwwSkRRi0ImGVCtY4xEK+viD8pl5qjkDrRqK1DLLbnWUUxb5ApQWOIgaPCWa0mWB8DIg+A2BmzCmBoTTYtW4EiJAcydOZEdSXJRAKqGDn46O5aU5CtQd8nkPNrbNXy0cge9Ir2464GR6PUGrl0rJq63L4HXaVZARnY5SoWcQD/Jo9Nq9cYWR47xEPkyQyKjaWoweqKCIDBteBTXcsrJLanB3sbIO12dZM+DSffS4f9Qd+m0v6sDKrWSvclZoO+E3B/h8nNY64wsh0A3R1Y/Ops7BknSmJ16A9FRXqjUkgdyIb0IX29HRvSTXh4/7z9KWmUDU6y3Q1MG+qTlvPLNL7R1aHj/vskm086SygZeX1dEXrMnK/puYFnUflQKLQQ/+Kf3srysnj3bk9B3Dfje/QN544tFpF/OZ8trj0uddyuP/+k+/t24e+kw1AuVKKzbEZwHcKJ5BIfTNYiiyMOLh/P5ijm8/cw0CirrePrzHbxb8ATNFl3qhFYBMGg9RL0O4S+ATSgq77G8/OQzLJ8znMuldtxz7Emu1fZI+IgaXEu/5PMHp9PW2MHZyzdXW/o42BHv40FNy18XGxTUN1DQ2oS1tS2XrCQh8zH+AUS5SI7LI1MHsfnlu+jU63npjwOE+7hy74i+iKLIC6lq8nWOvLHwSSwcI7r3eeRSNo98vo2alna+XtaH9wclMs/jBI5qPfU1zRzafokrF/K6u6yM6hfCJ8/OIjLING68ryyNFvNmvG0tyGy8wsi6i9BaCCXb4dRMEA206MrQiS14WNzwYgt6gOuUSwMCGpSIf2MTVyd3O17/6X7ihxgdJ0EQCQ4UCO/ni+7PJxV/E/5nQhCizA0dapRyOwC0+oab1rFSeNCqa8TXWkqEFfnNpVfEiyDqmZpxkRNleXTax2I+6hAA/QwiHld/ZH96HpOHr6dqx08IggFRFKANXti6lMjcc9z/uCcubrYkJ+bx28+nsLFRM3lWHE4uNpw4kcG5k1m89po0UNC1gNKGktJ6Av2duz1BG4UZjjJTaTt3e2t+zSmnvLYJd0fJq5g8OJx9Z9I4fDbTNNYFpOSXU9PQipeLXfey8dEhvLvjOLl7FxPYvAmAmFYP7NTPIlio2PTcom4+J0BtSyvnS8p4ykqaXm1PSKWgs5m4KB+KquvZf62MxW5nsVVID/VvtYOprCrh+bgmAlyMHkFqTjnPfrgNvUHkw5dmEy0I0BwPXjPAaypvv7sTg15E09pJXHwAcfF+6HQGfl97muOHUjEYRPz8nYmIkaqd/G1SmD/oOGtPjWBCrz34Vo6HyWkmCmv/aRS31TKkq8XV99vPolTIGdNX+iyXyxjRP5jBcQGs23eBg5eyubf0Mb54aBRuLp7GNHvvd6W/LowZDH7uVrz09k98dXkK9/c6QLxXFydb14qZQkG0hxunTmfz7OLRJucjCHCxuAzddUqatgXk5lJo5Abszc6kn58nQ/19+CH5IuZyOR+PM+0YZm+l5rFfd1HT0saXi6ZhYaZkbfJlSpqbeHH4MLxtjWyeC5nFvPDjXiYN6MULo82xODMeDFq0OhnKvJ8g/gTrvjyEUm3G298vxc3Tnk6tjgdXbWXuoBienTEcgJLWOuq0DSwNiedEzSlaBBnxPcKH1CfDdm9yY+7CSdUX9xsNsNc0GHUYCjewOSUIBHC1sTVZpbmpncqKRiwszLCwNMfC0pzM7HIO7rpCVU4VDdXNuNs3UV5vgygKTI7ex85OWy5m/PNiNv8zHnCJ1pyiTi0yLCjWR1Fyi15NcmVv0prz8FFLnkRBW54kBamwJM7Rm6t15RwsMdJUZDKBh4cP4GBWDqdagynX9UEUZVxXXtNolVy6WMdDi1fxwiNrefPFzVjbqJk2tx/DxkTQ2trJ5g0JDB0ayuCAHNjuA5tt4dBQMq4UEuRpDIMo5DIqK5vo1BjL32KDpSTX5WxjSaqdtZpe7s5s3HmhWwJQANzsrNnw+mIT4wswJjKIWF97EgqM+wi1LGNBwCWqOtvpvEGTtrJBUvx3trOivqWdk9fymNQ/DKVczrdHE4n3t2SRm6RUltXhzofV0/B3L2Wa8htIfQ+AIxez+HbTadQqM1a9sYDoyBCIeBEG/AheU6VzFgR0Oh0lxXUc23+Ve+d+wwN3fsexgylGvnHPuGXxH0zqfRkPhzqS8v2l+GnpzluOhf8EDKKB4a696O8USH1zOzbWakb3Db5pPaVCzj1TB/DUXEm3efm3x8gv+fPiiaAAL3745EmENnN+Sx5OXZsVIHTPJBqb2/Fys7tpu1aNhl7uzljJ9VIOY4stbHWF7O94ZMsu1nd1qmjq7GTV5QtYqJUolHJOVOezrG9frMxMHYKfL1wms6qaZyYMJcLTlQulpbx16gThbi4siDYm+lraOlm75zzeLna8MH8UFgXf0Nis4IPfx/LltlHQcJWOwqPI9DrcnK26taY3nEwmzMOFsTHG6/ZN1lFy2oqZ4htETksGfTX1eGtMGRD6jnLS2k8jwwJ1VxOGnOZSqjsbpBXcRiH2W8XpGmnGaH1Dg9jXX9zMQ3evZsm8b5gz5VMmj3yP5ct+4ejBa7gGufDKR2P48akfCPWWuNgu9s34mGVQWFb/T5fI/88YYLmgQid2IJPJUAoWtGhv1inwUIfSYWihXV9LqFUfituMN3Kwmz9elrb8nptsss206F74Odjx1oHjVNUb45ZyGxkL7+7L3Q+O5OGnxjN70SDe/mwhKz9ZwOARvejs1PLlZwfIyirnjhmRyBMWQbtkBDvLE6hv6MDNzfgmtrGSvMfmHuW2gZ6OWKnNuZRtynVdODWeTo0efZOG+aP78P5DU6msbSYxpZAb4WpnTYuo50CLaZLGRyUZ2pK6RpPlMwdHsnnFXdhZqth3Ph2d3sD0gRGkl1WxKzmdsJAwnMMXoBEVvFC2ABt5Oyvctko9OWsSWb0rgee/3U2HoGfVygX4ety6K8lLL0zljdfvYM2vD7LinTnExPkB0iThOkzixJY+2Fm2YWfVzsnMrk4ilv8cB/NfCZkg49Wo6Uz0jKa5rYPz2cU42d26UAWgX5gPPz43FyudnEde30RmfuVt1wWwtbXhmVfv41pFAAdqH4DRR8BrGqIo0q7REhnqcdM2VS2tpFdW41T6IxT/IV1cTT2JJz/mUGZON5PA2syM98eM55lBQ1iZeITqjlbmhpkqfB3KyuHdoyfoHeLJXYP6UNzYwKvHDuNpbcM7o8easArW77hAUkIBry8cg4XKDL0o8NGWCRTXuODvVktWiQtPP3yRtqZOFj0+Dgdna3LKavlm71ls1Spi/KQQRGpDERUddSzyH8jZul2UtV1mTsASULmZnFuuvTPtCiWRCmPP7s+ytvDy1dXdn388fxFNl7NxMs/0OYnq7cONsLZX8+E3d/HUC1PwDglCUFry6bINfPnIOvoEFOHrYsDJw5rGW1Qp/j34nzHACpkKfVc/OCulK826mwe0l4V0g0raUrFV+nCwIokWnTSVlgkCcwJiOFdVSG6Tsd+UmULByxNGUt3cgtcgL5Y+MIIn35tJ8MRwfr2ah7m3NeOm9GbkuEj6Dg5GoZDx85qTTJ38MUePpvLSqzOI8m0FrdHQlTfb4+9Qi6eHkT5kay29nRubjTFfuUzGxD5BpF1JgcvPQtVJAAK8nbCxMqegsI65w6MZFRdMVKA7vx28hE5/AwcSGBgSTHJ7AK2G629+Ae+wGQAU1TWYrGuhMiPQwwlBEEiqKGd470CCPJ34bP8ZrFXm3DeiL/T7np8dfie904vX3Tdjr2hFJ8r4Mnsk320/y6SBYXz9zGwcbf+2BJmjszUffrOYB58YayLjLFf0+BD8MNjHEu5ZTHalOxqXaeA57W/a/78bZko5UUFutGu1f7pesJczKx6ZiLOjFe9+c4Cs/EoaGtvIu4W+NEBQRBj9xoVzoDIKXEcCUFxez+W0Ejxc7W5av7K5BaVMhn2zKVd6jy6KeA8lc3tLz4MgCIwPDCa7rZL0tmJe7jcML6su56D+CiknXuXpHbuIdnfmzQljKGhsYP7WTegRWTV1ugkbICuvkuNnM1kwJY6oIOmlkCMuJqfMhQlxybR2mvHc6nn4h/vy4e8PE9bHl9rGVl5etYdYf09eWyAZc41Bx3vpm6nXVTPc1ZmE2mOMdJmMp+dUmF4IHsaGm9ecPbHt7MTLSRLtKWmrJr2pkNGukjxrRVMznx47C4jIBIHdKaZl/FNnxiGXd401ATy9Hfh14yOE9+qiWSqtoM+HCDIFQe5VoLTBrs9crnTWUt3yzzWF/Z8wwKIo0q4zp7AFjpdnoTM406y92QDbKl2xkjtS3JbBcJd+6EQdZ2uM9eFz/GOIs/Pl26umA3ZYkB/z+0SzT1eGurcDk4ZH8sScYfi6O3DoRBoT53/Ooru+YMqkd5k0/gPW/XIavc7AK6/OYMTIMLANk9T3u1Da4ERhuR0ePaaNTg5W9PJ1oa7OtJ15YNsf5FaKlCb9BIeHQ/46AIbESbHPe1/8jZSsMu6aGE9ZdSPHL5lqNgAMCvTFzMycK/7fSuLv487iFnYHQSFO1DdnSM0xu7LJ15FaUcXOoizi4n0oqWvkfF4xD4zsj41aRVplFV9eLeHuaAvGuNSiw4yXql9mbb4Fj80Zyhv3TuguSb0Rer2B0pI68nIqb2qmOWvBQD5ddXf3w3D5Qo/EkpkdTLhIxOTH0BnkZDt92Z1g/X8NznZWZJbXkF3+56EFAG93e959ehqtbZ38+Ntpnn7xd5Y99guFRbfe1sfbkbrGNjo7pVBVcro0O+pjmwz5v0px3i7UtrczPMQfwXVo97I6gwUbtAOI9vdF1eMeVbU38/ql/bhYWLMgpE/XwpNU7h/Je2nVOFDHd3ZfoJLDh+dO06HT8fn4SSa96QrK6/h47VE6OrRMGRLO4kmf8MUb2zlwoA0ttny1cyzrjw6kz9AInv3kTnz9LKhPW88rX6+jtKqBhyYMxMlGemmvyz9Kfmsly0OmsLtiHY5mLkxw7+pSLjeDAWvAYxJXlF7saIwl1GohglLa9nBlEgICo7oM8Et7DqHVGwABgyhyPCef5g5jiNLRyZrhoyU6qJWVinc/XoCl1Q0Mh+CHJMM/6jDMKMHOQ9p3Q9v/xz3gtTmJ9N7xLo+cl/FZZiQPntvIHwVqijo9aNWZGjNBEAi0Gcel+iQ8VI54ql05WW2sd3e1sCbG0Z0/clJIqzMNYTw5ejADA7x5ZfshDqdmE+jpxA8vzmNkTCCKRi3lxc20txnQ66WY0PsfzmfYiC4dBLkKhmwBmzAQZBR0DiG2twfePsbpuYujNVlZFZRX9AgJNGXTX7kVgMQaKZlDxqcAhHdlilvbNTz82u801bczJMZfojjdgBhvd1oNWpK0YRDzJjgNwFplxrXmKmpTPoHEe2BXMBRv7d7mj2upKOVypoT3wsvBlj1PL2XBwBi0ej0v7DqIjcqcZVOWoJ9ewgq2s6/EnkcmDGbJhL63bFOUU1DNl2uOMXvB13zy0T6efWI9cyZ+xLef7qe4h7EJj/LmxTclOtbZE1mmOxEE/OOH4eRuS2nx3y4683+N6tZWThcVdvdok8tkTO7Ti6T04r8pRujhasdby6dSkF1Nbn41Op2Btz/cfcvZjJ2LFeWGdlq6DEhaYQkDfQvxyVoC5+6CvVHQIc3gLhSXSFWWvZ6GwHupk9vxjN0C5God0yL7m+z305QT9LJ15cN+01B0JWU7Mr7kEeUcclxs+d7lB5xaL0DFYd4fPY5Ns+cT7iyxekRRZP/5dO5641cq29v45NXZfPXmTqoqmtiz7RJ7NyTQ2ixxnoOjvVmxehl2qloqtvTl3p+uUVxdzMcDjxPTxRKq7mhkXcExxrn1oUl3HHulngU+yzCT9eDdqpxgxB7WBLxIi9KbKN8Hus8lp6mCfo5hOJvbAZBdY5zRAmgNBhILTcN68+8ahH+AMyvfm4uNgyWnkvPYdPgya3ef5/f9l2jv1ICFB7iNBqU1tl0UtIa2P+9E8lf4rzfAZjI5nQZT3cY4Jx/qNLUUt91MzQm3HYBW7CSl8SzjXIegNYjktxgTVI9GD8LWXMU7F46aPDxmCjlfzJvKjKgwlq/fw8+nkhAEmDUtjjC3iq423gICBoYFphMfe0NMznUETElDM7OdnedDqa/qwLJHxY+ToxUWajPqG3pQhgQBb4sa3NV1JNaEdi3r6s7Ro7OCTm/g/VWHMHQaOHg+k+Yb3spW5mb4OTmQ1kPg3VzfioCBNrErLCHq4KrU5LBTp2NXagZjgwOxU0vn6GFvg7lSwfdnL5BRVc0bE8dgqzLnq8Pn2HUpg8cnDubukTc3HU7OK+ORr7fx7vcH2HroCsOGhzJuQhQPPz6WidNiycio4OF7f+TIASNXedioCKbeEU9GagnVNyifOTpbU1PVRFVF442H+o/heEE+i7f+QWWL8YUf5uNKblktmcV/W1NPH097amuM22flVLJh081l1p16Ha5O1pgrFbS0dbIzIQNXdYkxX9laAHk/Ud/WTkljI+GuLhLzof9qLgw9RI7aHhffeo7VJdLZ1QUzrb6CLfnJ9Hb0xN9a8mhFUWRFszcpMk/e1u4gVNk1oxTkWJuZE2gvOQ/N7Z28uG4fb/xxhIHR/vzwwjwq8mpISTZSHUULFTKZQEi0N5/vWI4gCOQnfMXd5+dRrbHhjZCN9Jdvg7I9ADirbPm4z72MdLXiSsMhImz7EmxtpLddx+X6HJIb8ljoOwpzucTsyGyqYFdxLnG2xpzHkDhvXILUbFg8l4+nT+TlscOJ8zZ9Pv0DXPjw28WcyijkhS928tTn2zmQkMHhxEzW7TjPosfXUFVr5A/bWJoTGetOu/wGzdi/E//1BniOfywxDp7d4ooyQWCen1QMUNR2szfopQ7GVeXDxbrDDHfpR15LOesK93R/b2uu4vGYwTR0drCnwFS4w1yh4OWpoxgdEciHe0/y2pZDNLR1sGLsFizMOpGaggosjj1sWuXUhabGNl54dB31da0EBLmYfCeXy7BUyKkuazAutA5C8JnFGKfLlNU5SvS3sGcBqflhT7g6WTMiPgi93sCZqzfXu4e7OpBekgcJ90LBBgR9GxZojAYYoFPSADhWnEuQpz2zY0wHfUZtNQmlxUyL6MWYkEC+O3+Br66e5/Gpg7l/tGl/1St5ZTzwxRbu/vh30osqGTUqjB3fP8DyR8YxfkI0o8dH8dDy8bz61iyCQ9zZvvMSe/dc6d5+9p0DCQh15/Rx03idUqnAxlZNfa3p7OY/CUcLqSqrtoe499i4EOKDvdhx/NrtNjPBQ4+v6/Z4r88gfl5/Bo3G9AHPrqmjRanHUm3G4aQsNHqY5HbRdGfaRg5m52BupmRkoFF7pKS9VlJpFeD34pPce/5Tytvr+PDaUWzMVDzQy9icdXPBRXZ22vGE7jijDV3PgUMcuBoryK4VljPvo185mJzFvWP68e6Dk1GK8MkbO4znIghgpkQvk3H/7HyEKy+Tln2N10/ZohEV/BD5DXG2XY5Sp1GDwkMNZ6p/IsCyD0OdF9x0vURRZEdJAo5mNkz1NBYrHa1IQ4bACDdp9lnT0cKW4mRmhvUiztuTqZG9WNIvFnsLNRW1Tei6EnNX00p457sDrNt9HhsLc75+djbfPD+HtW/exUfPzMDZ2YZXPt3V7ZRZmpuRWFNKjeaf84D/3wyi/R2QCzLeiZ3GtCPfoRdFBjr74mnpjIu5O0W38IAFQSDefiwX607SoClntvcY1hbsJrUxlwhbKa66uFcsO3LTeensAfo4e+BpZcOlwlLuW7eNN6eP5ZMFU1h94gKHLmQyaeWPzA18kOlxp/jt3EiG+V/Dv/coRIU19Y1tlJTXk5tdyYXLBVRkVlKSVQWCQGjEzXXkjg5WKBQ3VIgN3ohf6c9szGykOOYoPr4jACNDwM3ZhtnjezN3chwyQWDVngRS8iqYMCDMZDcBHUdINligz12DPO8niH6TaIdmHHU9PMmAuwFYn51MIXUM8jVmh3UGA88eOUB5WzNfTJ/MvswsPjp1mmlhvbhvmJF72djewbsHT1Ba1kB5WQNPzRrG7CHRUlv07G8hYYNUWh25AuwicHK24YPPF/LKS5v57NP9eHrZExPjg7uHPeZqM/btucLMuabG3cHJmrqa/4cMsLrLALcbDbCtpYoIdxc27E9i8uBwIgNvLUrT3NzBi69toaBEMj7eng54edrj4W5HWKi7CRNEFEXyauqIDZTGzuGifIb19SDCvr5b9gS5GoPvIn7bcQlvO1t6uRhLt682FHZ7ygJQ1FbN3rIkLtUU8VjECGzMpNlOWmMBvxRv4r7QoTzoOQeKN4PKFfwXgUyOKIqsO3WZvcmSCPxPj82lt78HJw+n8uErf6DpvEGFzSAS6lNJpOJXkhP9eCTbGjc7e36KWomvumtWZu4ocXaRupZvLfkRV1UA072eQSbcXDV5pCKdrQWZvNNnZrf3Ky1PI9bBF0dziYFyoDgTgygyxdECztwJbYXgPYdWnwd5+MMthPq4sGRcPM+8+QfOjlb88tYiQm4QmeoV6MagvgGcvVpAfVMbDraWWHS1o/+rROtf4b/eAAME2jgz2j2Yg2VZBNlInqWXahRHK/K429+A/IaChViHUewu386e8s3c4/80u8tOsqvsZLcBVshkfDF8CpN3/sLyk7v5ZewcXt5+kHaNljd3H2VwoC/LRvZjQmQIPx46T3ZFIxdrrAkMa2F/SzzHflbitmUNRWX1IIrYGRSoBRktxY1dJb4CleVdhk/fAQW/QUs+FSU2hAabUmyQKYkYPBM2/0xKlRPXTeLMsTH0j/ElwNvJJOYa7e/B2eQ8WDjSuI/2SpTN1ygyTEEjKlALWjqyVnFBuYwh7qNB7gjuYyHoAYqbGzldVsDjMYNNCjS+v3yBa9WVfDthKpWtLTy7bz+xHh68N35c9/EPZ+by+p7D1LW2c+/AOL6/ZyYW1zmXOT9I+szXUXkMpueDwhKFQs6rr83k7Xd38ek3h/jms7uwUJsxcEgI3391mIryBtzc7bo3dXSypqnun8s+/yvhZGGBjbk59a1Gb0inNzBzTDSFZXWs/HIv7z41jcAeqnOt7Rp2H0vh1MkM0jLLiQjz4KN35qBW3V5f4FxOEcmVFXw6ZjInsws4nJ3Lm1PHIAQmQPY3IOoh+EHW53VS0tjEB5PGmYyNjCZjWCDY2pNHgqfydfpG+jo0sogroIuhFXg3fR32SmseDBmLoFSD3Yru7Vo6O3l7+zF2JaUzKiKQVffNQtuq5d0XN3M5MQ9LKxV9+nogaLRcOp/Hym+WcG3zJ0wI2kFiUxCPZ9+Ls7KJr6a64u76m1SdqbSFXsvB3JEGTQ3f5b1Jp76dhwJfw0JhWjQB0K7rZE3OKQKtXZngYQw15DVXoJIrGOdhpNCdqSwgyNqBkMSZ0NGlqVx9hj8S9NhbuzNzWCQff3aA8CA3Xn1qCo63KW339nAgefMZahva+OnSZTxtrFHIZLTp/r9ugA06uPYGEyvOcZBhGNqkWJW72pv0prOkNZYQZWfK81PJ1Yxzm8m20nUUtGbyZtTDeKpNW6z72tjz1sCxfHMlkaWbtlBQ2wBIHt57+4/z3qwJ+Djb8cbCcbR3akktqKCiuomSigY6OrU4WlugUipwc7bBRmHGS4+sQzQYtUVLrrerPz4ZKo+SXulOS+tjlOVlAxNNz8XTEX93Bxp7SPapVUqTB/o6Ar0cOXEph06NziiVJzfDXCZ5JZ2iEjVaKmROoAd3/xngZ3zANudcBWBusJFYn99Yx5cXE5gcGMIgLx8mbf+ZuEAPPh41CXOFAo1ez0fnTrHldCre9rasWjCTcHfTEAuFv5t+7qyWjLCnRCeytDRn4cKBPPr0en7deI5ldw9nwOBgvvvqMInncpgecRaKtoClLyr5cGqabi60+Y+g+hwuya8ivzKJauUeiAxHROChr7ei1xt4/o7hvPLpbpa/tYXevbywtlRRWtWIVqfnckYJE4aE8fh9owgJcvvLQ/2eeBVHKwuGh/pz969b8bSzYXpMOCjk0PdrANKrqvglaQ8x7m6MCjRqT5+rSafd0IEMGa9GLGCkazQH0n8hp72eVxv3oCrLQCxazxee91PV0cAnfR7FSqk2OX5JQyMPbdyBmUzOM5OHcueg3uzemsS5YxmkXS7ivifHMnl2PDJBxufv7sKiqI7gSE/6KBUcvuTLzyWj8DCvY1XIdzjb/ygltNyM1XuNmnq+z3uLdl0LDwauwF19Mz9XFEU+yNhIo6GAD3o/jKKHGNa20lNUaQoY57EIgNLWRvYXZPF8kDdCnlHQXi8KnE6txs4zgK2bLpCdW8lHb8+9rfGlIZWBLW+zf341Np2W7E6R08/Xix8nz8TX5uYXxN+D/34DnPY+pL5FHFagGoZYugN0cxjgFIIMgTPVmd0GuKStkhPVl1noM54hTmM5Ub2PnaUbeDr0Lakl0Q2YERjBtYpK1h9IRujRwmdHcjox3u4s6Cu9fdXmSuJDvSH01qdYV9NCaIQnqVeKEEVpEBUX1kg6EpVHAfjynMRh9LVIv2l7mUygsrLJNEF3G7g5WNM7xIPGlnZcHLoEXMzsUbgNpX9H1nWpHcr9HoTsKtwtjMIpetHAlZZsFoVH42klLRdFkRUXDxDiYcdrQ0byzMm9VLa18NXIaThZWtDQ0c6D+3eSUFbM08MH80C/fpjdqjmkpffNyyxMl0WGezJ+dASbtl5g0rgovLwdiBkWzP5Dx5je8Zy0UvUprJp1tDb/bfX8/6fQNMDxCSi1TbiaD6S0KA8yv0Do9SQT4kL5fu85zmYU8uM7d7J2awL1jW0cT8wiNMCNmF6ePHLXsG42y9+Ct2ePI6+qjqOF+WRoa1g5bjRmPUJW5c3N3LdtO5ZKM97v4f3qDHpW5e4F4PPYZcTYB9Ku7+TH8mTCNNWM6pDi7Jc78hF06dzlN44IW3+TY+fV1rFi92Eqmlr4fPZkbFpkPLDwe0oKaxkyshff/v4Q3l095DraNWSmlnH3gyOxslazsWMaK8t8ibPI4yf31di7hN7E4a5or+XjzB9xUsm5N+AFvCwCuBGiKLK/Yjunq69yf+BUwu2M4+dafT67ShMJsfLC3kwa99vyUhCBSb4R0CMaWd1hS3KVM7ODLNh7IRmAuD63KerRtsCREag6a1ABXDxMQ9sn2KnVDPfx+7Pb9Tfhv98Al+4CwJkWLMRO5Pp2qDmLjdsYoux9OFudyYPBYwG42pDDr4X7iLINJNoumCked/Jr/hl2lJ5hlvewW+7+oej+HDyfTXVjKzJR6G41t3LXUU5m5vP5/KkmD8Gt4OBkxSerllJb08yZ4xmcOJSGtY2K68pj65KHk1kjDabqpltPQT3cbLG0uP309DraOrRcTi+9SSi6wGE0F4ovYRu3EtxHk9/QSpRzOwHWRh7nuepsrjXnsTjISFE6UprD6fICVsSPYWdBOgeLcljRfxR9XDzQGQzM3b6RgoYGPh09iZmh4d3b6Q0G8ivrKCipo61Dg0qzBHlVIW6KHPytK7EIuwfsTavzAJbdM5xT57LYtOcSTy0bQ3ysL9/9VEBxjBPeNhKdyN8hl2s1MXR2aDFX3axr8G9D1QmpfTzgpaqjtMNRKo/u9SQzBkaQWVDFV9vO0NLSyT1zBmGpNrtpF3qdgRNH0xg+Kty08OQWsFKZ08vThSd+3YuLpRUTe4V0f9fc2clz+w7Q0qlh9cyZOFsavbnfCg9S1FrFW1GLibGXwmwnqn4n1KyB+XUnEIBWuRl/uMXjIGtjge8Yk+M2d3by0B876dTp+W3pXM7sT2fT5vMEudmz8vH59B8SbBLqUKnN+PTHexAVAq/vPsKZ3CKGBnjxabwKC/X34H2HxMzoQm5LMa+lfI/WoOMe/4fxt7xZ30MURY5XrSK1YStPhd7LBPfh3d8VNlfw1OXvARjkJCWO23VajhTlMT+oN97ufaDXU5DxifSd3B1PQcHe7ckAuLvZ3pI6CUDlEeg00tiadCrC5PUEO9y6wvPvxW0NsCAIe4GHRVEs+Ed2LAjCT8AUoEoUxciuZQ7A74AfUADMFUWx/nb7+JtgHQK1iQjAiPpcqg32YBUEwHi3WH7MvEBhSx2+Vg6Mdu3LusK9bC4+QrRdMLF2/flDfo3VeXuIdwjFx9L1pt07WKk59sR9rEw4RlJpKYGWDoz1DOLDAyc5npXPjK/X8cL44QwN9bvtTWxu7eBKagmWlub0ivWh98BANFo9B65WceDUM6TlGKUGz+e50d6uQd3jYW1obCO/oIbxI/9awrGxpZ3YMC+sbjDWRY2N+NjaIwuXEm1XCtajFzS4qLuObdCyPWsn9nIZw2ylwaXR63k76QiBNo4McPXh1QsHmB7Yi3siJO9TIZPxaNxAPKysiXc3JhV/PnaRVYfP06HRIq+RQh+xbipSsyYR5WtBZk4rE0ZHMZRcBvYzfdgcHay4c+kQvtx4krEjwxk7MpxVa45zMC+We3sfBMDNtomysnZyMsqJuEUZ6b8N1kYD6KWu4XRdGFhL0yC5TMZz80fi6WDD17+dIjmlmP5+nsT39iXAz4ny8gaOH0nn+KlMqqub6dTqmTj55hfSjfjt2hUKGxv4adqs7hi93mBg+YG9ZDXV8M20qYT1SLxtKznK78X7WBowgWEuUuVbdvMlEmr/YKBbOFElkizqNpc+tMnNudfrMTacukJjawc6vQGtXs+VigoK6+v5ZeEcgl2cyHSyZuzoCB5+aHR3f8MbkVpTzUvbD1JS38hjIwdy/5C+KG8xM7pUl8476T9hJVPylo0T3m35YGs6JgyinoPln5HSeJBY+xmMdJ3d/axdqsvmueQf0HWVVQfZSDOK1SkXuVRZzgteotThOOxZCFpGeWE2r39ZQX2lkXHR0amjvUODWnXzC/LGWVpymy/phbY4qSxuXvcfwJ95wGuAg4Ig/AJ8IIri3xtt/hn4CljbY9kLwBFRFN8TBOGFrs/P/537NUX0SqhNhOYsVHqRvdo4DJa+yIAhzqG8cvEA2wuv8kTECMzlZkzzGMYvBXvJaiohxMaLp3vN497zH/Be+m98Efu4SUxJFEVWXN6FiMjKAdNYdekiH509RU5DPb8sm0tRVQMfHTjJ678exMZCxZzB0UwOkWNn6wAWxm4RhSV1vPDe9u7P5mZyOjV6VGYKLLSeaPXG5I1WJ3I+MZfhI4wshuw8KVMcEugqTXuvvATVZySx+Zh3JFJ6F04l52GhMjNJoAFoRT3DfP26f9flunwGO/cCXTsUbKAm9QNOKmayoPM8yj1fwrgzbKttQ2fQ82rfMbx+eR8FbbV8P+wOkxfNtOBeN90SdwcbxvUOpr9TA37Zz2Irb0KBnpaBc6lwe4GUtBIysyp48bU/mDe3H0vmD8Kixwtn1tje/Lr3Aqu2nOHLF+cQF+nMxeowloqHkAsivcLsYAekbXiICLu7pEaq/wnYhkHEy5D2HlGKQo4Ux1Ln/TTXfSOFXMaSiX2JC/bi8LFUNmxO5LdNiVJr354va5Uce+fb60ZcR7Omk8P5uQz08mZ4170E+OjcaY4W5PHGkEEMtm0AgyfIFBypPM/qvO0Mdophoe8EAFp0DWwv+QwXc1/GB74OjrNJL/iVC1Qw3nUqmlZrPtguiRxJklPS3+MzB9HfxwuKtzJF+RlEAFUd4D3D5Bwb2jv48MgprpaWIwgC6+6eQ7yvaecUkMSLtpQcYFPRXmINGu4p2cgh93DMazYyp3QgQvyXAOhFDReqPiO96RQDnRYxyGlR9/g7XpnMGym/dnVvFrp+XzsZ9VWcKstjkrqM/qld5iX5BRh7mvOFnhQWp3X3exaAuvpWNv1xgSV3Dr75ojvEQuB9kCvpSmwtGoFlucjmrz5hyPw6lAO/A7N/PA58WwMsiuJmQRD2Aa8CFwVBWAcYenz/yZ/tWBTFk4Ig+N2weDowouv/vwDH+WcNsJUfTEmH+ivEF3ew8dg5sstzCXXzxc3ChsGuAWwruspj4cORCQJTPIZwpKyYj9IO8X3/pTia27A8dDYfpW9mTe4p7g8e0b1rQRBwU9vwTaak/vVm3DTCnZxZfnAv0zas462hY9ny4EIOXM5i06nLfLD1ONv15ahkOmL8LBk75QFiQrwI9HVi9YeLaG3T0NLaiaZLfN3N2YZL5/P4fWMCLS3GpNKVK0UmBvhsQg79+vhJBjhhIZRsk75ouAptRTByPwBFVQ0olHJG3aDClVNfy9HSPFb6SQmP9KZCAmzsGeYSAkdGQW0CJ2z60E9RwMzmZDA00JT2GV82+hPl7kllZyNJNSW833cqjqq/1ncYHxPC+JgQqXTayih84tKymoCw5xnUbzharZ6NfySybs9FruaW89HLd3RP0dUqJXdN7ccX609wOb2EmXOH8+z79Zyw38go90vYp79PREgkWbVWcG4ROPUHK//bnc7/LWLegpBH8EtOx3AxiXW7cnliqZNUOt2FyCB3IoPcWTp3EM+9spmc3CqTXm1KpZzoqFvEyG/A+pQrnCktYuvsBUYjVJzH90kXWOir4q7sMZDRBhZeXI3/irONOcTYhvBsr8XIBRkG0cCest/oNLSzxPstlDJzNHZR/Cg3x1sVzzj3OcgFBTF+7lwrrOg+R0sbM+4fFA81iZKq2nXzVXMGxiWCYzyiKLIvLYuVB47R2N7B0v6xPDZsABZmN3uVTdoWPsv6hcsNaQxrzWJp/Rk2evcj39KZKRVXEMqlknmduQ1nK56hsj2BSe6vEGo7s3sfqY1ZfJ3zW3dO4zrK2xpZmbAJg66D7/Q/GCsdtI2Q8SnTJq/Gzs6Cdz/fR6tWi9Ap0jvCi80/niamlye9u0ShADo7tWi0eqz7/wChj0NLAVd3XwNErlT78872el5VvYCs/7d/ee9uh7+KAWuAVsAcsKaHAf4H4SqK4vV+8BXAzXP+fwSCDBz6EK+VdBAu7ltMqF02xH3JTN9onjq/jTOVeQx1C8Raaclot0jeS93DwfIUxntEMdylNwmVFXyaehzfpquMM2RK2VnvWTwaJtG5vsk8ASKs7DONXQvu4otTZ3lu6362+XuzYuIoplnuJOvsl5ysiCCpPojtqS64ep0kJmQhapUZvQJvneXuFeTGwoWDaGxso6SkjtLSeiIjjR5DSVkde/dfZeTwXlhbKKF0h+kOyg9Iqv8KS347donUmmo+6Gea4NiXL5X0jveXDPPBiosUtRXRV18GtQnoEdhvHYmHtgE/gzQ1+7HFjGZtB0sCB/Pi+X0McPFllt9f9xYrq2vi8LUcCkvrKMgYiK/MlTadilibXGLt8gjq6lCgVMq5a5IjHtpSXt/ZyTc/b2H5svkounQgZo2J4VBiJttOX2PFPePwdrfn11MaRo5PQwBs1W2kV/lI1KuqU/85Awygdsc3zBpIYtfeizyinozCZ7Iksq40erZ2thas+nIJl68W8dwrm9HpDAgCDOofKM0AGq5B3i+gsILgB7pbUQF06LT8mJzEEG9f+rhJVVzN2k6ev7ydyTHevFZxf3frnSJdG1+XbsfF0pdXIh5G2aX/u7V0C4eqzvNQwHJcVFLoZk/5Pqo7q7nbbzGKrvWenDKEu7/a3H3s5ZOGSuGDkh10G1+Q1NVKttNiFc1ruw+TX1ePt70ta+68gzDXmxk6AFcbsthVdoRrjVk82FFAfONZfvEdRKW5LQuLE+jdJJUIa7TVnK57kdqOa8Q7r8DfZnr3PrQGLV9m/4y7Ws3ykFmcr8tlX9kFOg1adpZcQC7YsjrCHYfkG5LWuhYEQWD4kFDSMsr4bc9FVJYG7uhbxroyG779/CAjx0fiHehCblE1Ow9eIb63Hy88OgHsojiWVEinxvhCOVgci8fBS9xvWtX9d+G2UX9BECYAyYAFECuK4muiKL5x/e8fP6QEUSopuW2hvCAIywRBuCgIwsXq6r+tnNM7720m6a+SUucrBc4T72asowuDHIL4Md2o+TDXrx9hth58mLqPFq1Utrs8fAwxig5eLKogK2cLnLoDUt8B4NGwkTwaOoK06kbuObYFK3Mz3pkwjhUTR5FSVsWyX7fx2skWZHID9wUe5tv47zg28hUCLatN1M3+DLa2FkREeDFuXBQeXSppDY1tvLpyG0GBzixZOEjqP2dxQ7ZW7Q5yNZUNzexISGVq/3Bcesgg6gwGLleVMTWwF66WVnTqNRytusRQ52isulpuX1D7UaOwZlJzCgDlMjvWdzoyxSuGHUVX0AptvBk70ST0cLE0hY1JvyF26Q6UNzbz6vZDTHv/Zz7ceYK8qjpQu9OhNyO12Yf9FbEsSHiWxV+kcPJSDobWMjgwgNHyD3i+7yY2J1awZpPx5aIyUzJpRAR7E9NJTCtiwdR4MnIrSWqSijJCnEopb3agsUMtTRP/hfhHxl51V/fsTsx4cO/D5F1LhPQPbrlun2gf3ntjNgq5DINBZOSwMIkRs78vZHwMKW9I/9cYi2Q2paVQ09bGI3HGp/37jDPUdbaxLMAbpV5KBtbJLfjEYyxqg4blIU9goZCoZIm1Ceyv2Mtw55HEOUgVb1Ud1ewp20t/h75E2BoTqHEBXgwMkQy0rY2KuX27ZB5v8ZLL1Poy+4ff2JeaxbjQIDYsmXdL46sxaFmTv5UVKV9S2lbD+9HPYGbWytdBI7HWd3Bv0alu46v1Gk5h+/s0awoY6PquifEFUAoKXnQfyvs+ExnkHMMTITO5y28CBoMCnWhg9cgZhIfMBIse+QFBBkHLuj8WpZ4EBNr1Ci5dOM27ixLx8Xci6WI+P/18ktW/niYm3JvxI4zVoJ9vlnjUQg+zlVofdNNv/XvwZx7wy8AcURRT/2SdvxeVgiC4i6JYLgiCO3CzaG8XRFFcBawCiI+P/5tUj4W6i3iJgWysH8yLbtuxoQPzliwGuPrxQfIxkqpLiHP2Qi7IeDlyKk9e2MAXKad4qc9YzHSNfN78LXPM7+NFs+ms6lyPY+aX3f3VHg4bgb0imVcTDzJz31p+HDmbO/vGMD4siM3nr/HD0Sa26J9noFUms20SCDCvZflBPZY7fuTemQOYM6Y3ZrdRCLsROp2ew6fSWbvxHILWwGMPjsH9unJa/FdwZq7k9crV0mdBxscHT+PiZcs940w7AmzNTuVocR7fjpG84lPV12jVdTDBvR/Y+oFtOAfN/XHWNRPfXgjuE7AMfYZFjXoibL148sImlgUPxd/GGGduyvud5QlJyNEzLftBLvp/w/NHmunU6Vg2th+T+/TC27HrfEt2QMkO6uVBHKwbwL7EfF79fDe93Aw8568i0AameF3kQn0wPx4U6R9fRnSw5OHNGBrFrweT+HrraX58fj6b916i1iYG7C7Sq1R6WWTbvk68nal27T+Lf2TsXU66XkYtktnuxSN7H8I/W8PIiZcZ1DcAT0fTOGFcH1/ef3M2B4+mMrBfAFx5HAw9uM3tpVKoKWAp7VotR3LzGO8fRH9PaXZU1dHEtfpipvtEEuXVH6yD0Tfn8IN6MB0oeEmmxsFMepGXtpXxS+FPBFuFsMD7zu5D/FZ4EjulB/N95t30e0ZHB3Euq4hof3fji9f/LonPXXkEgO36JXx+CnQGDT8vnk0/v5tjvQAFLTWsL9zF+fokJrgOYbrnADYXf0SVrQMqvYaZZZdx0LaByp328DmUWh8BbQWj3NZgrR5oujNdKxwdi2/NOQCaXMfxndt9bCtNYpBTL1ZEzsHWrCtMNu4cZH0lOWP+i8FlCG0dGlZvOUtaqR66Ysdbc4egVh7nxdfHUNUg0tTcjp2dJS5OxuT4Fz8fpbqmFQGIdS2kn1MqfUPVBE/74TYj4m/Dn8WAh97uu38CO4ElwHtd/+7489X/TrgMZ3L5TtbVDudwYzSzXDPBvjd32ZvxY3oin107ybpRCwGIsvdiint/vkw5TZCNC3O9fXGhja86N/CUci4Pmt3Jz7Kj9Ix4LgjuTYCNAw+d2MadBzfyfNRIpoX04qFRA5jfP4bNe75nd4YzK3IWodPKUAKtHRq+2HCSX3ZfYGifAGYMj8LJ3gpVF01Mo9XRqdVTXddCfmktJWX17D+RRrCHI5aW5rzw+MTuvnEAeE6CGaXQcAXsosDMntNZBexOzuChkf3xcrbrXrVDp+XTpDPEOLszwS8EvWhgU+E5hjvHEmMXCIKMvMHrKc/+gnlYIh+fAI59sQEeczcw98Qq3FQ23B9iHAqiwcCrF/ZRQSCbWcXhliCePlXBxNBePDdqKF72NyQkvKaD13TsgXnA3HED2XsylS/XHeSD1lnM9jvLWI9kng3bytW2Prz6/V5+e3MxlmozlAo5D04fyNbTKZzPLOLXj5d0GYPt+PQqwbnqICUO8dwsAfTvx6VCC2TUY0AGiGjVCmo7Ldh2+AorDx7H08GGfkHeLB0ZR4CrRP2L7e1LbO+uGY3sFhn4rmXfJ13gVFEhG2fP7TaGv+Sc5UpjATtHPSZ5d8N3sz3xbTZofHhT14RP37cBiQP88pVNuFvE8lDgQhRdEp5JdblsLjrPA0ETug11T/g72yOXCfT37xGblqtg9GE6q5N452A2f1wrZ0q8N89MGoqT1a1zAycrs3nt8jqCbOsZ4WxOdeduvs6RWmNZKxx41HEaVvpAsAmh0c2JysbnUcg88XT6GXPlzR1FyP0JuozveZUfn8m8kddd4PGQKczzHYKsZ9WrhQf0lmaxGq2Obzef5EpmCWnp5QRaaqlvkLRbANZnjKD31XIG9A3FzdU4hnV6A2s2neX33Zdwd7bh27cX4mxnTk11OTsSywhUu/9Tgjr/ZzxgQRA2ICXcnARBKAFeQzK8mwRBuBcoBOb+Sw/a+x0iO2sJLikjqb0Ps4a+A0orLIEHwgfyxbXTnCrNZ6inNJV6LGIISdUlrLi4n152i4kOeYSozM95UbePx5TzedziPr416DHrwYzo7+rDjklL+CThDE8e3Mu2jDTeGD6K389eJTx0AlvvCCa1qJKdp1PZfcgoxNLY3M7uk6nsPilNKLxd7SgpMzLwvNzsKalsYECkLwP7+DNxWDjxUb6SnOCNMLMFF4m3XN/WzrqEy/g72bNshKlmwvsXT+Jna8cTsYMRBIH9pRdJbSpmbo+Burv6GGYKNYOjP5A86i7sKU1ErZBxX9A4LBRG43CgKIVd+hCe4hC9KaEIZwaY5/Le5Iew+BsSdIIgMHl4JIOj3Xj1zXd57fJCQGRsYA1v3Deedw+m8O2hBJ6ZJv2+sX178eWOs6w7lMTwGCM9yd7Jk6LqRsprmm5zpH8fRFEkOaOmy/gCCJibyfnw5cWISiWnswo5n1PMkWs53Dm0z613EvII5K8FbYP02TYcvGaSWl3J8aJ8poSE0q/L+23UtLO58CKTPKPwsZQ4F01qb76iF7EOzkwZcG83y2JfWRLZLeUsDrgTG6VUXKMXDXyZtRs3lT3zfIbc8nTc7Gzo6+GJrdyUzphfWcfzGzNIK61i2ah+PDJu4E2Mm+vYk5vJb7kXCLNvwF5dSk3n9esFtko3ngv7GkEQMLiPpbThDZqb1mCjGoG7wyfI5bfh2bYW0oaSVfbDOGAZgZ+mhmft1AT43ZrHfx1KhZwL6UW4O9qw9p27eOe9XxG7Ulp25i0Mi7IgvJcppbGwpJa3P9tLQ2M7cyb14dElI1HIZeh0el7+6Rxp+ZWM6RuCr/s/zgn+PzPAoijeLGEkYfRtlv/zUNogDNnA9PYLfL7zNPeIvbn+yC4KjmVPbjYvnDnA3ulLsTVXoZDJ+HzQdKYfWMOKi/v5YdhbOLuNY1RDMivFUF7OSuWt5H283mcysh7xT28rOz4cNZFoJ3c+TjjN+LW/IKuUZqo5lbU8PmYQ7c0aEwPs5WqHu7MNg6L8sLJQgSii0egwM1NgplTgYm+Fl6sdzg5WtyeF3wCtXs8TW/eQVFrGlrvnm4ig78pL56e0JO4Oj2OAuzfteg3f5xwg3Nab0a4S37SorZCrjVeY4TELVQ/jW6dpZnX+LkKtvZngaYyBVbY38+KlQ0y3qOahNokZMs3iMlODfRG6jK8oilTWNFNa2UBjQxvurrYE+DrfVBhibePAeytf45l31/LmtbtwnDiF2IhQQtIqWX/qMnMGRuHrbI9CLmP+yN589scpMourCPWWSpxlMgF7Gwvqmv66OvD/GoIgMGFkBAZRJCLEg4hQD7zc7btfnr5uDtw5rA96g8FkHJnAJgQmp0DRJlBYg+988prbWLp3K2YyOb9Mu8O4qlLFV/3vxFVlrGLUGfQMcApiaeCQHhVwBj5NOccQ536MdDG26zlQdons5jLeiFpgImTTEx6ONtgISvbtTCbC3YW2Dg0HL2Sx/1waVsE2fLV0GiPCb98Q9WJZKU8c3UMfF3deGfwiP+Y/T7u+BUGQ3g2zvJchCALtujqy6j6EjvU42zyMu+0zCMLti2uynYbzoVsl5gYdc5sucmfzRcziL952/esQRXhtyTjyi2tJTy0lJLgXwX51TI+tJ7z3MGTOps7L2Qu5fLlakqR9cMkwRg4O7b6u3245w+XMUt5YNuGfMr7wv1AJdwvMGBjJt3vPsfFkMi/Pk+y9SqFkRf9RzN6znlfOHeSL4VMRBAFHlSXfDZ3NspObuefE7/w2ehHWnpO4A2hVefNFyikMBoE34yaZGEaFTMbdvWOZEBTME1t3k1IpEdpXnThPSlkljw7ujyDAwGh/7pwYR1yY999sWG8FrV7Pz4cvEuXrxoAQLyjazNunckkotOD9aeMJczNqL1yrLee1hCPEu3jyUt8RAHyTcQwnc1seC5lipDBVncRSbskoF9PKp1U5u+jUa3k8xMj5FUWRVy7updOg4/ERTyDP00lTQadBCNFvIooipy7n8tv+JHLTK9HpDehbtUSEuFNa1sDdCwczaUwkCAJb9l7i5y3nmD0plo9fXcbL3+3huVVH2fSmN49NHMSxlBy2JqawfIoU+pgxOJJDl7M5k15AqF0z5P8CMjPsrTyoa/zPG2CApx4Y+5fr3M5T7IaFJ/RaTptGy7b0NL5IPIevox3vjRxHk6YTG3NzBEFAEAT6OZkmxBzMrXi3zxyTZScrsylta+RFt/Em93F1UiZ9Hfp1v4hvd66zhkSxc/dl3v1wD9mF1TiHOjK6byj3jXfDuX49ZNhAwBK4IYRR19bOI5t3MSYwkA/HTcBCoaSgPhZXG6mllqc6iCCrGFq1VRwqfYIWXQXj3NfiYjnyVqfSfd77ys/yQ9ER7FSuPNGRToSFBcTulEJxNyCvsBp7OwvSiqs4fD6Lsyn5BDo4kHytmCh3Z+QaAyq9yDXnGCLHmhrfrOwKtm9PwkKt5N2XZ+Hi3PWiM+jZs+EHDm5v4L6JbkwcFH7Tcf9e/E8aYHsrNRPiQtl9Pp3Hpg7Gpku9vo+zB0/2HszHl08z1MOPuSESrSrSwY13+k3i/pObeOjUH/w4fC7mcgWLg/pR1dbCdxlnUSvMeClmzE1G1N3KmkALe1Kp6M6Nns0u5Gx2ITOnRTI2IogQX5e/Nr7V5yQxbfdx3e2LRFGkvK6JE9fyOJNewOm0AhaNjGVA45toc9ZQUb2U+2yrmGmuAKTBkFZXyeIjmwhzcuHTIVMwk8s5UJbKTznnWBTQn2g7P2m9xiz2lJ/hLt87sFAYq3pSGnI4VHmRO33H4G1hNOrbC1M4WpbDy73H4O/gBw5fdn/XodHx1s/7qalspqa+lXvnDyYswBVLlRklpfUcPJ7Gr9vPs257IhqDgfouo1lS0YCFyoxH5wxl0cr1vP/rEd5/eCrT+0Xwy8kk7hzaBxdbK2wsVVhZmrP//FXuaXgKdJIwdpDVEjrtTTPk/y9Co9VxIiWPTVdTaNNpSLLJRyVXopYribb3oKShFWszc2z0KhraO0kpqiTC1QUfWzs+GjUBSzMzxq5fw9zwSF4cPPyvD9iFbXlpDHEKYYS7MZZ6pbqCpKoy5oT0UErrrIPyg5Jeh7OxGGFQ30ACvJ0oLKmlvUNL7yhv7MRcODCgm/JG1tcwKRkUxvDTtsupWJuZsbzfYKzNzMlurOZipZ77nEZSoT3GaNf5GNBxvPIrDBgY6/kpLuret/0dOoOed1P2cKk+i77OUTwWPB9r5e3DXRfTi1n+yu+IMgFHf1uaOjoZGOnH4Ag/nl48Eg8XW0SDyE9fHmbjmtNExvqZNOY8eTKDvOxKfvj+Hux7CPSkbH6MH7faE2pfyT1mL0NaFYQ/9zfejVvjf9IAAywY3pvc4hr+OHaVuycb33APRw+guKmJd06fxE1lw7AuQY0RHoG8338KzyTs4p3kg7wWOwGZIOPpqJG067WsyUrETqHm4YjBNxnTS4VlPSprRCzkelr1CnZfSWfbpVRivNyoamjFx9EOHydbApwdAAGFXIZSLsOsYC1NpRdp0FnQaNiF6D6FlEoDJTWNBLs5ciWvnBFRgXx87xRGhznA1jUoBQPfuK6Rjpt+FUIfI62ukjsPb0QtV/LuwAm4WlhT0FLDq5d3EGPvxdMRkpdmEA2sLdyCo5k9Y12ND7TOoOP34p8Y4xbIwh56AKWtjfyem8xI9yCWBJuyLDo0Oj744xgHLmRx38R+3DupfzeXFyDI34URQ0LZsOMCX6070b1cEAQ6unrCBXo6ce/U/iRkFXExu5g5A6P5+UQS2y6k8sAYiXbVJ9CDb/cU0OSjxaZr1NbrZRSVFvydI+Pfi9PX8vhs22lKqhtwDbInys+V3n4udOh1tOu1WMrN0WkEmrWdyAQBW5WKe/vGMcTPl75eXpIO8/Z9OJpbMDvsL9gepXuk2YGZAxV+D7OvOIMHwgai7JHD2JydgkquYHJAVwVj3WU4MtLYNNZ/MQz8pXt9Nzdbk+7dnP/GaHwBWnIkpouflNzW6vWsPnmBAf7ehLpIzJlgW2eOTHkQR3MLmnQLsVU6cq56DTktZ5ni8Tquf2J82/Uanr+0iROVmdwTOJTHe429pTMjiiKJ6UX8uO88bY0dkmaLXqQ+r5FHlgxn7pS4m7a774lxFFU1sfbXM3zYwwAf3n+NuN6+Jsa3raGSlets8bSq5bUh61HIDFJ7sP+/Ab41wrxd8bax4ccd5xjXLxRPZ2kQyWUyXuo3nGvllSzbv501k2cx0FO6+LP8o2jVtfNZxiGszRU8Eyl5CS/3HoeZoOTrq4m0afU803uYyc28b1hfalvaiKl+n+jOvVjKpWxDZ/jrXLW9l7zKWpILyymqbeBoai5Frg2czzP2pIoz7yC5aTpy9Ngo2ugnu4qL7QBiAz2J8HbljTvH4efaFWvqNPZCkwnXzb7I1boylp/ajVquZMO4Bfha21Pb2cInqYcxkyn4uO8czLoy4CeqEshvLeKxoHswlxsTbEerDlPeWcYjXrNRdS3XGQwsT9hOZkMVu8bfZzKNNhRt4+XNlzlUas87iwYxZdDtGelzJseSV1LD3mNSElIURTo6jdXtd42PZ/2ZZNYeTeKLB2YwKjKQvMqu3yqKxCgTcFa3kNHqST9bqdOJWqah/Z+TY/0/Q3N7J1/8cYqtJ68xKi6IZ+cMp3+YkcPd1NFBTVsbLRoNeIKdSoWduQorc3NkgoBObyC5qIxvjyWSVFnGigmjCHZwpK6jDXtz9c1GqHQvnDB2Ct5SUIJBHMTcAGOYQRRFLheVMy8wGhuzruRa6lsmHbvJXwthz9xyWn9b9Kjqy6ioJsjVifGRISarOHXlCGyVjrRqy2jsuEK4zTgCbW6dBATQGvQ8m7idal0TL0VOYZ5fj/HVVgaZn0N7OelmM1mXbM7+i5m42FnR29WFQiRZWoNB5Ms1x1m94Qx9IrxZMKMvkSEeKJVyVCol8f0DOHg8jUspRcRGSnYgINQNjaFHzVlDKhs++wFbtYEnBu3A2qyr5dcthOL/XvzPGmCA5QtGcPZaAR//doxPnpjRvdxOpebXaXOYv/13Ht6/k9WTZhLXJSazKKgvBW3V/JRzFg8LOxYG9EMmCDwbM5KGdg1fXzuHzmDghdgR3Q/BnL5R0JwLu7ZBj3tiXvgzfae/Rl9/L+YNMD4IHRotGr0end6ArjoRw4k3sJR1YinvlIyq4wAY/96tf5S5I/gvhbyfuhed8XqSh4//SpitG+/3m4qvtT01HS3cc/JrSjvaWRMWhbtaegHVdTaxufgUgxz7MdjJ6M02aOrZUbadKNtoetsZM/Vfpp4iqaaETwfMwMeqR6wvby3iuaU4aGbytFctU+p/BPEqCLeOcyoUcl5+ZCLD+4ew4pNddGp05BUbVabMlQrmDInmhwOJFFU3EOPnwSd7TvHCjJHYF31NaOlrlAlvkdbpRT+6DLCZGe0a1S2P95/EhcxiVqw7gIe9DfdO7s/9k/ujVMipaWllX1oW266lYaUy53RVETJBwIAIAkTbuJJRUoW1ypyOJg0R7q4U1jbw6dxJDA8NQG8wsOTIZvyt7flimGm1I/lGr1Unyjii9WagnQpfa+M9y66rJb2mmqUxPZgYHbcoNOmh/nUTgh+SjPR1L9gq0EQPIqOqhvMlJbwzMVbyEAU5+N1p0hU8t3ED7ZozjPfdfdvDiKLI65f3cbAsk5V9JjHPr4f8qL4TDg/F0JzP2uKRfJOfS5iHmlfuHMOUAWF89N2hm/bX3qHlbFIe5VWNNLV0cM+8QUweFcn0GXH8fvwqn/50jDUfLEKhkOMX4ExKZjl6vQG5oQWODKe8dAwuVmYEOFZS0WKHm1UDhL9w++v0N+J/2gC7OlizbMZAPv/9JIcSMxnb3yjY66i2YP20Obx49BBLdvzBmmmz6OvhhSAIvBQ9kYr2Jt6+uhdPCzuGu4UgEwTeHjAehUzG96mJKAxylscN6e4gi9IGBIXU3PI6egy6nlCZKVHRlem1GAaOrtDcowNwwOI//2H9VoHbGGi4wi5681xOHgHWTnw+aCauamsq25u479gnlGs0fNOxgegLBdCxEjHyFT7K3EhhWy3Phy0x8aL2VxzAXGbGAm+j2ElSTRG/5V7iDr9opvne0BQxdzVyQeQln65Oyo1A9Vlwub1HAzAkPpBNX93HrAe/p6GpnWuZpUSFSi+/WYOiOJ6dz8nMfCK9pSr11OJKhhRswE7Zhp28hcLOrrh06JO4Ok8juKTudof6t0Or07Nm73lWHUzE08mWJ2cNJcrfnTaNllUnL7D63EVCXJwwk8sZ6OfN7LhILM2UGERo6uygs11HjX8rnTodKlFBmIcLfQO8sO1qjPrppdMUNNaxLLwfFe1NrM05zyNhw7BUmJmMta1iLMkGH37xMaVVnSwsABEGefWopgxYAtWnjJ+tAsD5T+6hfTRMTIaC9dKYD1hqEv8trK1HKRNwPzsYOrsaeaZ/BBMugcoJraGVgubteFqNwUJxeyWC7zJOszn/Mg/1GsL8wBu0nyuPom/OZ2XuHLIbvBjhdI2XBzRgMeBBDp5J53BCJiJga6sivJcHk0dGERvuhV5n4FpGKVv3JbMrIY09SRm8+/AUnrx7JC98sIO1O89TSAsudiqupJVwNa2EPrbnobOWE0WRDPDO5L7dT5DX4M4Pb0QSHDrp9tfpb8T/tAEGmD+mD3nFNbyz+hC+bg6E+BqLGlwsrXhn5FgWbNvE3Tu3dhthuSDjo/g7ePnSTp6/uINfhy0lyMYZmSCwst9Y3FTWfH46kUvFFXwxYTLOFpagcpYk79LelXYuM4PoN//6BGVyGH1MKlttyZe0Uv/KAMvkdHjN5s0KBzblXGFaUASvxY7HxkxFXnM1jyX+ilNnMa91HibeUCRtk/4h22xHcKEunUeCZuFradSmSGtKZ1/FIWZ4TsNFJRm4Fm0nz57fgbeVNSv6jAPgs6NnGB0aSJSnm/TwYSrq9beqQjk5WPHDu4u4/8Vf+XXbed5/QRJZcbO3pk2jJTGniBnx4QgCpBRXMETtDvXga15DYacTIEDoE7QnlpJQUvLnB/s3obiynpdX7SWtoJJ7pvXn7gn9UJsrOZtbyNrEyxzLzWdsaBDLRw0i0OnWL+bboaiugUe37ySztJYh0T5M8evFYwlbOFGRw3z/WCytHKTW88V/0Nley2eGMUQrWxgaYRSvEUWRHZczGOseiJeNkb5G4L0S/7tokyS9GPYcyP5CY9kmGKJfv+VXOdo6on06UVw3vgBtxZLB7vUERc070RlaCLK985bbA5ypvsbpqiym+UTyZMSIm77Xy614PXceO2v68YjXXu73PExWyz28+9yvNLd1ENbLnXkT4xgSG3gTj374gBCGDwhh79k03vnlMM99vYvX7htPWLQHnyYkYJDDiFB/LNRm5ORV0WeQB2nV3ijMDJwqjeK6ekKT8uYuzf8I/ucNsEIh54E7BnMhpYjlH23l25fm4NODu+dqZcWGmXNZsG0TH54/zcpho+nl4IxaYcbzUeOYefQHHknYxB8j78NKKdGAHokZiJuZDS8fO8zUjb/yzcSpxLp3Vd343AENqZKYj8XNjTdvCQsPiPvsL1fT6PXkNdXyS3oSG3Kk0tcHIvrzTJ9hKGVyLtbk88TFDZjLFDyvOUi4wWicDin8+TB9Hwv8RjLd0+jh6Aw61hasx9ncicnuxlZI7109RGlbAx/2m4GVmTnHsvL47tR5VEqlZIAjXpJaCl2fivrM/bvihqGBriydPZArGaWUVTbg4WoHQG8/d06k52NpbkbfQG/q29sh+lko34+PeTUpbT5g6QsWnpgrKtAZDOgMBuNM5D8AnU7Pwx//QWt7Jx8+MpWRsRLrYOfFNN7Yf5RAZ0d+XTyHaA83E672n0EURdKqqvjwyGnO5Xa9REXo5+TN/tI0DpWlszxiFD5WXWPZOhCmZrP+/EbKcuv5YPgchB7Jt8SiEjKqqrkr7hbUM7+F3Um0G6HR6JDJZSaJ1T9DVn0NIYpbUANFLaIoYq3ZTZjNOBxUt04oVnbU8UHGRtwtHHirz103xbpFUeTNMx0UC8E87LWPZV6HuVofzuNHw7GzbeOZB8cypJ+kz5CSUsLpxBzKSuuormomJtILF2cbxoyNZNKgcPw9HXnxl30s/up3anUdGLouV3p5Nbt/eahbInVT7nTadddDXUY6378C//MGGKRQxGfPzOKLdft4eOU63ntsLJHhRg6fq5UVa2fcwaw963n42A52TrsLK6U5rmobPu8/myWn1vL8xe18OWBuN5H+jrAIwpyceWjvTt4/cZIQeyceHTQAV4c4qX33vxCrUhPZnHONvKZa9D1u/Ir40dwTLsVx0xrKWJawFl9LB752t8Cjxmh8zygDeN1yIr3t/VgWNPGG0MNByjvKWR7yOGZdpa/Hy7LZlH+Z+0MGEufkTatGw8o9Rwl2duSeQV2/zXkQTM2Csr2SQXT7ax4sIClodcWJRwwM4cfN50hOL+02wKEezlwuLqexvQO1hZLzhSUQWAKiHg9VHbta4tC3FCIv2YG5wg8AjU6Pwuw/Z4AVCjmv3TMeL2db3Bwl7/J0ej4vbzjA9H7hvDRzFNqOdu5+5wdGRzhx72yJr5tTVM3RhCxOZhVgoTbjSl0lzjaWlIqttN3QbVfQgqwTUsrL+b7uGtN9I7k3xFQnoUk046TGhtFejgzxMLb00RsMfHr2DKN7BTA14mb95hvR0tbJ7n1XKCyo5tDBFBwjnAj2d2XWxN7EBnqAQWvS0eI6OnQ6ChobmGKZampZZGbgdyd6zUXMtCcJsPvwlsfVGfS8nforBtHAisglqHpUYIJk9N7bfZzNF1K4f/hYHogaAB3ziHCbxD2uhcyc2BtrSxWtrZ2s//UMv/+eSHCEBwqFHGtrFYUFNWzemMjJExksumsw8X0DeHH+KO756Y+eipZUNrWgMeixANC18nTfjbS3TiGxLIzr+hH/KgP8nxu1/1eoOQ8XHoUjo+HENKnjMBDYuo7HHZ/HTFfFw+/t4uBe0yaRXta2fD58CvlN9bx45mD3Be7r5MvzUeOobdYyf8tG7tmylU6dFOcNd3Zh1/xFxLp5suVqKqNW/cQb+49yNCuXNs2/Jj3fqdOxJy+T7MYaE+P7mDKReyxyuj/3snXjwZAR/DLkPjwaznYv36uI4C3zifRVmfFhn8WoelQ+5TVXsSb3GsOdxtDbTvKM2nQavsw4zmj3EJ7omv6tPn2B8qZm3pg6xrTfm4UnTU53oncZc0Ms4hYo2w87g2CjEk7OAk0Dfp6OuDrbUNNg7HBsqTKjoKaeNo0Wd1tryhuboVXyAJ2UzRiQUaezgtYifBzsGB7sb6Kt+59CfC9v3GwEyPwKzdGZvPfDesa6tbFiYjhqXTWrPnuc4sp6QiteQ3d0Ml9/f4TXP9/D+t0XcLGxIsTLmdn9oxgTFcS8uCjG9QrC3kKNvYUaDJLxFYATKfk4mVvxXORYPkjfxvaSxO5z+CzlJKerclnee5DJuW24epWLZWWMDw1Grbx9eKGtQ8Oa7QnMeOIH9hxPoaGlg3lzBzAg2p/a9nbu+2Izp38cApsspHuoNS0Dz20qJ8bFikjxhr6GCktQu6Np2wiCJWaqqbc8/q7SBFp0HSwPnYuH2snkO1EU+eLwWQ6n5nLX4D48MX6IpIsSeC9yS3cWzx6AtaUKnVbHqy9uYvf2S9xzz3C++PhOvvpwJh9M2cm7MYv4Yu5WWuor2bdXmkH2D/HhgaH9EHSm53IktevZ6qzDWl7De6N+5s6Io93fl1c23PY6/j343/KAS3bAyZmYqFyW7gJNPVx5hUDrNn4a/Dkrr87ni/2d5GnP8sC0gd0e4UB3H57qM4TDxdnsLEhjur8U51kc2I/kwhp2FmQgIPDe8ZO8NmYUADbmKp4fMZSFvaNZf+kKGy9eZf3FKzhaqHEwU+NibUmYqzN6nYitWoWd2hwbKzVW5mbYqMyxVpsjkwlodQbatVo6tDqq2lvJqq4ho6qGitYWMmprEJwEkBkQARvaecCwFxL2gOsIULsjE2QsC+ni9DrEIeb9xBqzQXxmPpo4XSErg2ZgpTQyBjR6Ha9c2URDp45pnkb60qrMM6Q0lLN+2DjM5AoKqur59WASD4zsS6y3x02X/NOX/6C6opGv/njUZLkoiui0epRmCtA2w+m53QUUlGyDZBdk/b5DIzNQUtPQvZ2FmWQg2jo1eNnbEuTkSLvHHahzvsNZIW1fbXDE2WsaY62DGBv2z8kB/stg0MPhYVCfzOW6IAzaSOaoN2F2Yi2HW+byR1Y0T0dsZYhDOntOWbE5IYk5d8Tz9evzsLVW33a3nTod0z9ZS3GbRBXTt4vc5zSK3WUX2V16ETeVHQCZDVX8mnORhYGxRDoYdYQrWpv54to55vaJZEZY2K0OAcDBlGz2JKSReCyHobGB3DdrAKH+xjxBW0MJr3/+Ck+kzmB9eCG9SrbBNX+I/bh7ncSGK3Q4ZdJPaIKOHjt36ItB34ymYzdm6mkIspuLKOo1LXyfu4/edgGMcjXVyxBFkY8OnOKnM0ksHRTHcxOG3rawae13x2ivb+OpZyYyYnQEf6w9g2X9HsY7/YYgQIRdEl+Oy4ApGd3bPDpxEFfyy6hqasHbw54Tmfms2HaYmfGRyCy9wXEAQm0C98cewNKsnVWXJ7P+90SmTbqNrsffgf8tA5zxGbeUGM77pTtWaWfWyvuxP/NOziJ+2J1IUVUDb9w9HmVXY82HovtzvDyHV84e5JsLF3hv+Hj6uLpjrTfv7oy87nIy8Z4eTA4zTue87Wx5YdQwnho2iIvFZWRWVHOpsIyq5lZKahtJyCmmpVODjdqcRq1pS3U7GzV1bUbd4DBvF7Kqawh0dGBCaBDPDR+KzkzHvUe3SOcoO4GVoJHk8euSulu7X4cu4F6+Kszgpw47JujSecu/F2aepuXG32YfJrO5nE9jF+FkLsnuFbfW82P2WaZ4RxLvJGXKv9h7GrkgY/GgmwebKIpkXC0ibogp57OuooF7Y54hcnAIb259DuqvGI3vdVSfBiSvy6JHLy4zuQK5INCu0SFD4HJ+GRqH6aiHbMHp4m9QDNXhn4P1/yOG9zoqj0B9MgBJ9UHUttvQ1y4bmkXOZLQx0LGcaV4JAEwMuohr3N3ETxn1p7s0GAw8uWEXxbWNJsu/2ncWTXwh4917c0+AVGq/KuMcNkoVT0WNMFn39TNHaezs5MG4frc0WtXNrby14yiHU3OI8HTluxVzuZJVjgHTdS1ar/KM7zaONIRzf+ZD7Ip+F7suVTKQxsKJ6sv0sQ/GLng1JN4rSWra94a+X6Nv34qZIgAzi0W3/K0/5R2g06Dl4WDTsSyKIp8eOsNPZ5JY0C/mT41vVUUDe7cmMWBYKCNGR6DT6vnp0wPo9TLOBc3hqUm7sbVoRy1vhdbLYC+JG8lkAu/eNRFLczMsVWY88esuDqfm8MOJ8zwwsj8M2w7XVkD9FRbOG0qOdQjHTmVRWFyLr/ffl1C9Ef9bBvh202ALT0lKr4tuo5TpWTHFDp/qwRy9msPK3w+zcqFUdKGQyXg2Zhjzd20iU6zh60sJrBw8hk3XUkx2+eTuvdS0tbMkztQwmSkUDPL3YZC/D3cPNI0Fa/V6Gts7aO7opKm9k5ZODU0dHSCAQi5HpVCgVipwsLTAy972pvbuT7u2sbOymcWC9CAjU4KDqRhju07DMxe3clnjwQMBMTwU8jyyG8o29xdncK46hzu8+zLM1egVrco4g0KQ8VykZKyT88s4fDWHRyYMxNH6Zq+lpqIRLz8nwmNM6U7z/R8Fg4HE3cmMV93JgaavQW5hWkHl2I/GlnbUlmb4eRqTonqdATpEzOXy7tspAvjcgdpsOK5529Fa//M1+P96GMeeSq6hj10uByv7cK3BlwOlnhhENxYnLuf3QR8hU1oRN2om77y+jRGjIxg0NOSmvWWV1/DMb3vIrTLS7MwVcsyUCjoEPbF2/rwUYdTqeKfvZLIaq7EzN3rThwpy2J+fzbP9huJra3fTMS6WlrL67AUSM4tYPmEIS4fEcfRCFt9sPs3mw8lsen+p8eXoEIeLqgNLZScNWismX32J5eadzDKIyGQCGc2FVHTUcqfvOHDrD9MLQVMHKmcMBgO66kUIMifkypu7qhS0VLKrNJEZXoPwsXQx+e6nq5c4XpXPnQNieHnSyD8t6d+x5jTyTi2LH5Q0JcpL6tDrpYKK8znBPLB6Gcsn7aZfUCHCDSL+LrbGJgaf3TmF53/fz/dHE+nt60H/AG/o933394/5tFJW28KZ8zn/fwNsgtDlUqtwsUcVi9JGapxo5Q8pb0k6um5jEMKe5W6ZEoMCvthzBj8Xe+4d249WrYY3zhxHECXd+yOFuUz0CUbXszIGySi8efQYmdXVPDywP162f03BUsrlOFlZ3lY79a/w2KjnGHj4MY5URTDNphL6fAxq4zSxvrOVhxM2cLW+hFeiJ7EgoN9N+/gj/yovn99Lb0cPnupl5DGeKS9gXdo1Xu83Ble1DaIosi0hBXd7a+4afuukYkVRLSmnMph//436BALIZGDoapZoZgeD1sHFR6G9XOIw936ftOxKqhta8exKwAHUNEnxYEdrS2QIeNvb9qi0EqlobDbGfEURGtNA5SLRAP8DEEWRlg4Njco4GuVjsG9LolFryZUGf5JqQxAQpdMX5Fiq1Wg951Ph8giVqa0cPZxKnx49yK5j58kU9l3IoLKxhbExwbw4ZThOVpbUdbQzffs6ZMh4M+pOEyUzc7mCqB6hB1EU+S0jmZE+/twffbNi8r6sLJ7atw8Pa2s2PrKAUDdn2jo0fLr+OAJQXd/Ct1vO8PSiLoEctSsMXIdDziUaaq1o1qtZmWDBlpLfWLlgHMnaq4RaezPYqcvAyuTd90TX+h0YKpGrpt7SgO6v/IOhLl4s9TdN5B4rzOPtc8cZ6xfES+P/3Pi2tXRwav81ouP9cXG3A6A431hkIiLQ0GbFa1ukBq7Bu3Yy8o54Ro4ONyk5BqlM/vVZY2jq7OCpjXvY/PBCPOyM1D17e0sMokjixSwWjraSpEP/QaGt/y0D7DUVxl+A4m3o9TqSCnxIyHChLauM2ppMIvrMwsv7fgYFBGHRxXW8Z0xfsstr+O5AAlP6hvP1tQTSa3veODhXXcyZh5ah1eu7bcGlsjI2Jl9lW1o66bXVuNpZMScskuF+/v8nlKjsuho+Pn+G/fkRBNkNYcr0u5H1OE5hSz3vXN1LRmMFn/ebxxiPm+N9q9MTeffKEayV5nw3dE53lllnMLDy4hG8reyYHyR59Oczi9l5OpUX5o7A4jatx6u79Ixde3iwIOlhiAgIcoFuz9B7FjltA8jJKGLMsL4oFHJSc3MQBAjzMxLyq5paUMhk2FuqaWhup7yqEUsl0FaG3iANV7lMBm1lNB+dRnNDDm7ydmRRr0LkK//Qtf1HkZBVxEOrt6HTX385T8LGfBL3+jehLVIS7K4mt6KD62GxgUMm8uHVgew72jWDcVbxxe+nqddpWThTelmeSMzih61n8fN0YPfTS3G2Ncp8fnHsLIIevp84E2cLK0RRvK1ROl1ayLHifD4ePvGmmdSZskLWZl4mwsWZVTNm4qCWvOY1OxJN1OU2H7zMuAGhRAV1xf5956KxboPaeq7f17SSKj7dfQpdn6PE2sdgqTCNZ4v6avQtnwOgsH78pvMsbivmYv15prhPw87MaAhz6mt5/PBuQh2c+HT0xNvKeOr1BnIzy9nywwnamttZ8LBR7bakwFjRJwgC6PVYW6swt1KhtjLn22+PsHtfMkvvHc6wQaazEAszJc9PGs6i1ZtYffwkr04egdCjv18f73Jy87Nh72KwjZAa4/bohP634n/LAAM4xJJe5sKnH+xGoZBRWpxNZLw/Gq2e04m55Gw4x4DBQQweGMyUUZEIgsBr88dy5/BYXO2sGOHjT0ZdDZcqy7q93i0ZqUwPDGOot1/3YbztbJkeHkZ5czPb0tNYc+USB3Nz8LC2ZrifP8N9/Rno5Y212c10nb8JooF2nZ6DmTlsuZpKTWcrRboGlvcdxP29402Mb1JNCQ+e3oxaruDHwYuJdTSGBFq0newrzmBt1kXSGioRgF9HLjSZqm7MvkJmQzXfDpuBSi4NiVX7EnC2tWTGoNtze0vzq/AJcMbZ01SOMHp4OFdPSJlwMyuj8f7lx1OkXi1m6Jg+KBRykq4WMS4uFCsL4zWqamzBycYSmUyQ/m8hQ7nLGzpr0SvGAJMkcn3KSjZVWfBm+6tcsX0V26srwGeeVCTwb4KTjQUGg2nOoV9IEB7hQYTXJrN81lCWf7qd1g4NAAMifclSmrPvqLHLV0trJ1qdHoD6xjbe/no/YUHufLx8JgqFnPZOLQqFjD3XMtl8IYWXJ44g0smV+vZ25q37nVfHjGBogN9N5/Zz6iWc1BZMCTSlnVW2tfDEsd3YmqvZNmshNuZSYnbl9/vYc8aUvSAChxOzug1wY0cHJVrTWP7QMH9GjbRke10HY1xNY9oGbTqdtXcBGkTBFpnMmhuxu3wHarmaMa7jupe1ajW8e+kobpbWrJ44EwulKR2ttKKBC0n5nDyeQUdrJ/lXS7ASBJ76cB4BvYyzgMg4P0ZOjiF2QCBHNyXQUN3M5zufwkwljcni4lq+Xn2M197dwcdvzSU2xrTfor+tnIe8knj7Ujsja19h6KC7IOxpaMnHvOkIp2vHozXIUTamwtXXYMCPN/2+v8J/vwFuK4Oc70HXAgFLOZtizh+/naOluYP7Hx3NkJHhKJWSB2AwiFxNKebnbYm89+0BCspreWDeENRmSqLsGiDxFUZ11jEq7m463B7jUmU5q5LPc7y4gAcObOe3qfPo7epucnh3a2se7tef++PiOVGYz5niIjZlpPBb6lUUMhlxbh7E2nsQ4uRIsLMjgY6OqG5BxhdFkdqWNrKyEricuI7LtSo6rR1IaHfG286WO6IjuDMuGjuVqYexpyiNZxJ34m5hw4/D5uNvbfRG308+yi9ZF+k0GDk2D/QaaJIlL2ls5MPDZ7gzOpYJPlKp9sXsEi7llPLs7BF/WjiQn1qGKIK5ymhkRVGkubYFgPD+wXxy9FUAMtPLSDiTzdJlI7C0NKe8upHk9BIenGda9lpYUU+8n1TAUlHXgKtQ1C1A1NmYS7R1E1ZmZtCUjqZr+JoJOkCE5sx/qwEOcnNifrQlv11p5rpHuGBIb/QaAykFFYgCvPXgJJZ/th2ZIBDu74a/myPf/HwCjVYyuq7O1syfGguZX7Jjewa+1l48vViaIQAs+WADzW2d6KwF+ni7M75XMBmlVRwvKiC/rh43m5uNWkVrM42aDpZGxGIuN71/q1ITaNdp+W3SPGzMVbR1aHlr9QGOnJdK4d3NtYgtLXhYNnL3HQFEjzbKU+7JzKRV1GIjk2OjNufl2aMYEx3EG2nv4GvhQ5BVD+5xx1E0DY8iiu0IcEuR9fK2fK42XGG820SsFEbvcmXSIU7lZDOwwJMv8o5gb2uBvZ0FV9JKqKhuoqqmGXdHaxzNVUREeDJzSh/6DwrGxs7CZP/hMT6Ex/ig1ej45pn1zLhvRLfxBfD2duS1F6fxzmf7eO3jXWxatQx1V8y7oqEZ7bUPmStbwzbV45xq9mPo5WfAYzK0FmKtkEJlzVo1DuYt0JTBP4L/bgOsqYcDfaG9DIC6K2v46chrmKmt+H79g1hbmwq1yGQCvaN9+CTSm3XbE/n5yEXKmlp4656ByA8PMSqNlWxDNWIvgzwnMsjTh5z6Wu7eu5V5Ozfyav+RLIiMvklcWymXM8bdkjEOLrw45BEulZdxsqiAgrp6fj5/CW2XNy0HnPVKLFRqLMzNCXCw41pRJdVNrZgr5TR3ahCIIkRVzmgxiUd72dJ3xu83TcG0ej0fnz9NYlM+UQ7ufDdkDg7mpgMwqabExPgCzA3s3f1/ncHA3N9/R6vT81B0fwRBIphvPnWF+GAvZg3+88o2jUZL3DBTDysrKZ/8FKl7bFpCNod/O8PYO4fwy+oTWNuomTFbKhw5dFYasGMHSdv/svM8idcKyCippG+QNJWrbWzAR2lUf6vTW3OtyQZrlTl4TEZbKImuKNFLXSSc/y/aGP4Jrr3JI7zDDvkKWvUqXNUa+gZ6UVTVAEBZbRNTBoRjZ6WioaUDuUyGlaU5Y4eHs+ew1C1l+f1jMM98EzHlbfZdewFPq3x8sheD30kMBpH8ijr0BhEaINDSjvd3nuDA1SyUFnL6BnoSfL2s2aCT2tpb+bGvIJ8LlaW8N3S8SZXgxepi1uSc59noGELsnejQaHnow02YyeXcP2sgC4JTsLyyjC8Sp7AzdwC9Kl5C1TQInPrRodOyKTuFGVFhPHBnPG721tioVaQ2JtOiLWC+77Ieou8daOofAjTG1KR4c3Xchdrv6WenZ6yL0fvdU5jG5rwrzPeK5uSBDHKpRiYTTGYa984bxOTRUSZNM/8MlcW1+Id54B3sdtN3apUZ82fEU5RZyYnjGUyYEI1Ob2DOx78y2K6D99z1xFvlsqFpMM8670JZnwyek7FWSb+s2wB7/GO6EP/dBrh4a7fxBfgjrR+F9W2sfvvOm4xvR4cWrU6PlaXEu10yawByCwWfbzqJHcU8Z1trGkfPXwseE6lobiHI3pFtsxbyRWICK44d5derV3hm4BBGBQQYDWPyC5LoiKjHzL43A0bsZ4CXZBC0E/UU1DeQk7qNkvTfKW22oxVb2iyG4GRtSZy/Jy42ljirDYRk3Uu4RQlWXZKWdJrfFOAvbW7i8cO7SaooY0lkb14aNOImTwfgjT4TWXh8HU1aiZTpa2XfrY4liiLzN26ksqWFeZGR3UnEE9fyOHApi5fnjepuHHordLZruHQ8g7A+fibL9/54FEHoypsJsOr59WjVKqorm7jngZFYWpqj1eo5cS6bGSOj8HCRjns5o4RL6SUogIOH0vCxtKGwuo3hrsbG2XU6yUtSygX2tg0ktz0Vd00jB1qiibBqxk/fAfxtehT/EmR/hY2igzuczrG2ciTh5hkImnrcHWyI9/ekqExiMPQN9+HQ+SzKqhvxcLZl5MBg9hy+hpWFGYP7BsL2X7hW54ONRSsT/c5D9RVoyacJN8n4duF8RjFyG8kz1rbpSUsr5/sjiSyLs0I4IXlmyFXsk71NoJ0DJS2NPHlqFwqFwLZRU1l78l0cRTuWpM8EzRJ+r70fmSBw54R4RsQGQYLU4bfDXInKQYOlWYdEF3Tqx1eXEkmuLefZAUMI8ZCSa6IocqBiO5ZKC/rYGVkFgqBCafcxmqY3EAxdcVixHVE0IHRVQRa1XqSo9TyDXR7Csiu2ahBFvko9Q29HD14fM4El+yopKa/vNr7OTlb8/PGSP+VN3wqtjW0UpRShVt96PLs524DWgMpc+l4hlzEqPIjWgkwAIsxL8FNWUah1JshlKCitsXUPJcy5gFa9+fUf/Xed03X8dxtgmWl8taDdhZG9Nfj6Gqto8gqqOXAohT+2XsTT3RYPD3uCQtxYOKc/iybEU9/cxtp9F/EMHcYi75PGnZk7c66giHs3b+fl0cO5MzaGN4aPor+HFx+ePc23ied57fARpvQKZZqnjPDU9433oD5ZEuXp0ndQyuUE26kJrnoabJrgekLVMRXGG7mUiAZo0kNrD56wo5HJYBBFtqak8kPqRUpaGvl8zGSmB9+aXN/U2cmT+/egbVEQF+BFUm0JYzyl6fmFkhJeOXyYnLo6VAoFb42RaGc6vYHPd5zGz9WeGYP+XPy7uaGNgHB37J2NXogoihzfnNCTtEBTbQtfv7mN4P7BTJgiVdvtOHyVjNxKlvXPg/PbwO/O7sEPUFvfyvtrjqCzAW9VDWsrhnGkIYoKrR0yLTy8egdFbU2Iyt4APN28mDhVHusL1kPYU3963v9SdI2/ETaprK0ciY28E2RSjz+93sDFdGkmMHtkDIfOZ5FbWouHsy1eHlKYqG9vP2k/5s4cLPEju8mDQe4ZUumu0pa6OqPXKAAqcyWW1iraG6U4rE5v4Mv9ZxnTdpbA1kIANnVGcFnXjgYdSw5KvPEAOzuEzM/5oPMHsnHBAi3kriarfCAudk6S8QVw7Edt2hZ2l/Vlvv8p5IIIjv3IrKtmXVoys4LDGdxDSS2rOZX81mzmet/d3W25+3zN+tJqqMfcbBjmMiswGBNiBlHPmarvsFG6E21n7GgiEwQ2jF5Em06LmVzBiCGhrNskJSxdnKz5+ZMl2Fj9/fKj9i422DlZc3z7JezdHCjIq0LVdhVrXRI1nV4cu+aBq6OVid3QaTu4WmcLvuCmaCRT40m16EyQhSfoWjFrOk2y5gGaxa6XQcYnkj7K34n/bgPsPQtS34GmdFq0Ko5XxrBssNEgZeVW8vizv+Fob8ncSV5YtV+msN6SvYcqSLhWwIrlU3h09lB0goFPEwzYWrQy1TEJ1O7Q6ymilG4M9vPh9YNHKa5v5LGhA5gcEsrYwCCO5uayNTWNny9d5kiGDH37i4xXXWOq+hLhijKEpkzTc+2ouql0k5Zs08+CDAb9BucWS50G7PtA/9UApFdV89qRIySVljE1PJTvJkzH3840+XUdWr2eR/btIq+hnl+m3UG8hyeb8pLpY+fFgzt2cCg3t3vdO8LDuxN6285eI7+yjk+XTUN5Q+b8RqitzKksqqW53lhGLAgCD398F401zVjaWXDhZBaXLhURPzqKh56bJCWVOrT88kcCfVxL6df2KeQAuasw160y2X//3r4cLy4kQF3F+qohXGoJhK4m4mU1TQjmIPYIK061TgL8/vSc/+WIeAkuPESAWlL+UjmEdavE9Qv34WxKPq3tGnp5WRPqZqDi4pdg15dWg5SpHzNUGqvaiLc4vD6JYe4pWCo7Ifw1MHcgIe1S96HGxYfy1OxhzPx0XfcyG7U5L88cRWDxV93LThuC0GAabx3pFQjNx1GhIwppxqjVy6iuaiI2tkf2P/A+7GqSeLF2O1FO5RD9FjqnQTy7Yz2ulha8PNBINxRFkTM1Z7BTOjDA8eaOxG3Nn4CoxdL2deQK0/51Bc1HkQEDne9DLjNNsNmZq7EzV1PZ1MIfhRkggI2Vim/fWfAPGV8AFy9Hpj04ht1rz/Di0tXoBQMarQhyByJ9M5CpK5n52MP4Bxg5yAVFDcSrCwBQdtUpa2VW1388KpnkJHUYlN3L/hH8dxtghQWMPw+FGykuacLWS41fqDSgmprbefLtLUT19uGFhS44XhglafV6wUWPOF47v5iv1h3n8aUjeXTGUFKqqlmRtwj3uOXE95sBCkusgO/umMaXZxLYlHSN3SkZPD96GJPDQ5gQIv09/ttOmjtaEDVprGkdxgWdPx0oWejiy3SNRkoYAVj5gV2MxEO+Ds8bRLUBnAdKIje6ZlDakFdbx8ajJ1hz+RJ2KhXvjx/HrMiI23fXBb49m8jp4kI+GD2eQd4SI2JRcBxvHjtmYnwBQp2l6WRNUytf7zvHzEGRjIgKuGmfN8LSWo29kxVXz2Yx7/Hx3cvHLBrC+i8Osv69vWg6tDj4OPHQsxNxdpEM05Z9l6hrbOPdmK3GGYNooKb0KuCLIMCzS0dTb+jkeEkR/vZwt+wYe+viuJ7osjBT0ruXIycKygFwkTcxy6UQ/G5dZfV/huAHwb43DhXHkF8DGx8jCyAmxJPv9yeSnFfG4KoHqWwcRFZxKZz9jAbL9wA5tjaS95RQFUKTJp3x40bBgOfAPhqDwcD3eyTv77W7xjJ9UCQtHZ00tErhpEm9Q3lxxkjsLdWgnwJZXwDgLmsAgwEBWXdN6LzgKGiaDoUbus9PoVAgk9uSerWYK1HFCIJAWJA7yoE/MLFvuySkLjfj++QErtZU8PXoaTiqjTSx83VX2VV+lceCFqK8wYjqtDl0tG1AbbnkJuOrN3RyufYrrGQOBFrdur9dXWs79/60hXpNJy8/OZ4BvXxxdbIxWUen03PtSjFXLhUwalwkPj2811th2j0jGDo1jpSkAqqOvkR6vgJLcw2zByTgaV+HrO08XIyHyFfJqRFQiHIiA6WZgVLU4SHUYfCWOMQorVD5z4Jk6NB3/fawZ/70+LfDf7cBBlBaQdB9VDblUNW0E1dHa0RRZPJ932IwiCxbPBTHqhUmQunxjkl8vuw+Hv25jOc+2M63b8zjk6VTWfzFRr5LNucR9wb6+EuDTS6T8eTQQYwI8GflgWO8d/gk35xIYGbvCEKcHDmcJhm0JweO5HP5D+yusea3jsG8mqrj/exVLI7ozWBfH/r6eKEYth2Sn4OGq5J6WMy7t/xJNa1tnM4t4XhBPrszsjCTy3h0YH+WxsViq/pzL2BrYgo/7Ejk+elDmBNuGkZ4bMAALpeUc6W6onuZT1fs993NR2nt0LB49M29swCO704mJMoLjx4Dfeay0fz8zg42fHEAFy8HDm+5SEpiDjqN8VoPHhWGs6t0jJyCan7acJYFI5yItC802X9qjRsg4irWs2njMWrbBBz1Amvqv+HxEQUMa+7gZDGAwNJ+jowcNIYT3/8KwMPRFpiNvSgVC/y74TQAwWkAw722IWs1FuvEBHmgkMu4cC2FwYYDOJlHUtMphWuKCk9jGToNl67wTZ9wb15+eDz9h4RBF/th7/kMmts7GRsbzPSucNCz6/cCMCM+nLfmjUcURdo1WtS935NmT6W7SGrvQ5StLTXtUN7WjEImEGrvAvbzpO4XuavBzBYh8lWW943k428P8fTrW+jU6Pj63QVEh3lBF5c3ubqMdVmXWBoZy+QAYzMDrUHHLwXb8FK7MdxlwE2XpKrpc5Rmg7GwevKm7zIaN9Omq2Sw5woTKuV1tGu13L9lG472Vrw+Ywzxfqbc2sz0Mv74PZGEszm0t0n0PrWFuYkBbmvp4NiOSyQl5JKRWcmypycwYnwk9s7WDJ0QBVRA3Q2t7GsTpL+aRL5KeYHikjomPfkMtA5EzEyiKssMmvIh9T0IeRhV71dwO7YOrec0GPi2JAz0/2vvrMOjurY+/J5xycTdFUiCOwR3dypQb6Etdbttb3vvd+vuCi11QYpLcYcAgQCBhChxd5uMn++PCRGC9Va4bed9nrTMmTNH91ln77XX+q3/gmtigAVByAHqAStgEUWxY6rOL6TGYCDYz40mvZlF/16GzSaiUMmICvWGKqcO60cGufLSI4P5ct0RnvlgE28/MZPP7p3DnR+v5O5PV/PmrZMZFtPaE+wZ4MdPt9/InoxzfH7wGG/tPIDE0pqA+m58EWE3fsL8CVHME0VOlhTzQ1IS60+dZcmBBIJcnIl0difQ/R5CPdwQLCA9kYVUKqG0voGy+gbK6huRCgK70s8BMDo2koeGDGJez+54aDUdzuFCkvNLeGnNLgZ1CmZBXL8O31usNgrzaohyd6fE1ki90Uiomxv7krLILq3mngkDCfNx7/C7wpxy3v7HcoZO7M4Tb93Ysnzk7P7kpheTsDOZzDOFmNsYXgCJVIKpufCm0WjmuXc24uykYv782ZDweYseREJFJAabkjBVMQWVPtDYup3SajNELmCh92j25c9Ego2bG+/AybICjUKO3mRm1qRHQXZt+xKV5Q3IrK0vLrVCzrDeEVSbrCCXEu5WhFywh55lNfnS0GTEp1m60kmjZPKI1pdlnd7Ae2v20znQi5fvtD/YpbUNxKfn4e+m48Xr7SOOsyXl3PTFCj66cRqD+ryD2PtthHXLGBkQxMSwTkxc9xXStoLkne+3/53/CLz+79kkp9vDCcODW7MJixpr+c/RHUgFgUd6t4aiAWwvOUixoZxnYxYhvaAuWpPpNDX61Xg6P4JE2j5N12jVk9uYRKB2GL6ajtmVoijyxMYtnC4u5ZPZ0+gbGojVZmPvkQwOHsygrkZPcvw5zEZru98FhbTfz1evbODQjjMERgfSLy4KT+8LoiVin4EDc0Bsvx2Arw/qMNhquWd2HK46NejGYMrKAvQoSn8GfToUrkc1eAd5Viv1AbMg4CIay1fJtWy1I0VRvEzxqV9GVkM1OVXVPPSfFS0zx6OGNr+1O92PKfN7SkpMyKVWfMPCEYJm0EeqoqSqnheWbOWlz7bxf/dM4Kv7r+e+z9bw5LebuX9iHPOG9mzpEUoEgVGdIhjVKYJjuYXc+tmKdtI/jyzbxA39u/PPySPo5edPLz9/mkaZ2ZeVQ0pRGfvPZnMiv5gYP2+OZNsnaPpHBHI0twAPrQZvnRM9Anx5eFQcwyJD6eLrdVlXQ1vKaxp45JuNeDhpeG3+JKQSCUfS8+gTEdgipv3j4VNEeXvw3PQxOGtVJJeV4aXWcs+yn9Ao5dw8suNDYbXa+OHjXbh7O3Pnk5PbfafSKFjwn9kUZpVRnFdBY72B+B3JHNp8EpvFhs1qw9DcS7HaRDpH+DBmSDRurk4waqddFa38AJtOViITzLwxYCkP7l5ERZNLs7cXbp07EEp300PYD8zEhgQnqQEyP8VNPQuD2YziGhtfAC83J8qrG9ots4g2zhTWwtj7KDhrQyZYQZCSYelFZIB7h2oN53nn5wO4+Trxr1mjW8IdP9l2GIlEYOndc9gRn4qrTsPe4jyMFgtdfO2Gs9rQREJRIRPDOhHj4U2Iswt1RuNF93EeVxcNcf3aCxsdLc3lwfi1KCVylo6ei4uyddRVZarj8+xNjPQaQm/Xjpoc5bWvI5G44qFb2OG7UzVbOFV3hltC37nosaw+nUJxXT1PjRzG6KgI8oqq+GJlPNsOptK/UyAezhoGx0VxYE9au+iQ0LDWF0fBuTJyz5Uz8YaBzH9k4sV2Y69hN+k0FG+BjMVQn8a5Wm8+T5nAuTpfYrq7MGdMz5bVG9I3E9jYC1eaJ0Ur4lE12pNWDBfoNv9Srn3L/Y04vDsTdblI23dan85BAJxIgw2HXqOmKBe5XIYyxZ/7ehnw8VMxeVgspVX1HEw8x7/e38gzd09g6aK5fPDzQV5bu4eDqTk8f8M4PJ3b54tXN+g76K7ZRJEfjpxiTWIyT0wYxrReMWgUcsZ3iWJ8lygeGWXvSTQaTZisVqw2G4jgolFdcdLrctTrDTz44VqCnJx5dPYw3LRqzuaXsvDDVTw1ZyQ3DutJk8nM9/EniYsKIcLb3mMYERbG6Mc/pbq+iSWPzkEh73gMq7/cz64NJ3nslTm4e7f64RJ2JdOpZwgu7k4ERnpTVtnA5p+Ok5SYi1OoLxPHRrN/3XH8moeGGrWCZx9sM0yTKiDkeiqcJlFkfJOZwfEEaqu5redx3oi3T1J1jfanU7gPlNuvvau0nuEuzdlaUg1Bbi40XMHA/FF4uWlJzSltt8xZraTJaIa+72HY+QmeSiNMOsO4E0aUlwjxS8gqYOXh09w6rA8xIfa41YNnc9hwOJmHp8SxfN0xVm0/RbCfG7WhAoPCg+2awUC90cgAzyDcFfbPcyO78VNaMpnVlUS6XV40xiaKnKgo4LusY2zJP0s/z1Ce7T2WTi7tNTa+zN6A2WZhVuDoDq6qGkMyDYbdeLs8jVRibyvHqxPp5BSFVqYlqyGZIE03AjT2jtHLSVvs4k/dxmGx2fgk/iiuahW39++NwWjmwRdXIpNIefHRKYwc0Kllf0WFVSy85TOMRgsymQTfZu0HgDPHskk6lsNDr15/2fM1azuRqXQn2RzAjgMHyKt3RzDDXeMUTLt1RruXY2mTK1VGHe7y1hesqllBsOmCUd8v5VoZYBHYJgiCCCwWRXHJhSsIgrAQWAgQfEFxwYvhFKhBkl+Frc3z6ONuv0hFBVWU1JiYfctUSgqqOH4smwW3fMaCRaOYPL03t08fgEou48Pv95JbVM07T83iyRkjCPVy4631+/jnd1sYHhvOdXHd7bKVjbmMEdaxeroz8sBJOGldcVIqsNlE3t52gP0Z2Ty/YRc/J6cT5unOnD6xxPr7tDQgrVLB5eR4SqrrcXNSX1X5miajmQc/XEtWUSXvLJpObJD9of1613G0SgVTIk2Qt4p9leHoTWZuHGAfLpXXNvDKD7uorrfLYPbtHER2djll5XX06R2KTCalsqyOHWsTGT+7L6Ont8Z5Htl+hv/ctpgecVEMmT2ADcuOYELAaLZw98PjmDSjN2qNggX/bD/J2GQwtWQanWfN1lOcLdDxr+cfBNe7mOgxkveOL8FksrJwXnNihedgu4CSIKCSmu3KatFP4FNRRUFNe6nG34Jf2vYAQlxEitUNmNOWIo+40T5BLBMwNrsdyuRyosIiwaUL1424+DZsNpGvDyXSLzKQ+8fbq13ojWZeXLkTf1cdxw5lk3DGLk6fV1yNzCJnyrxWV5NOoeL4uSJGBIYCcEt0bz47fpx/H9zBK8PGEeJ88aiZ7PoqrtvxDVXGRnp7BXBH54Hc02UwOkX7+Ya1BfvZWZrEPREzCdR4d9jOj4W7sVjmssj/NgCqGvN4P+MjZrv1o5v/RDaW5LEwzF7v0GKzsT7vFCP97Mb4SE4+dY0GHh8+xH6flXIevGUk4YEehAa2f3n4B7jz/uLbuPu2z7FYbO2MpQWBTgMi8Al0baeV0dBg4NjJHOJP5VBaXsfx/GJMZituzhq81D24cYCEaWP64BLQUa3tbN0QQs3ZeCtq7AtC5iF17YRStoWmP2kPeIgoioWCIHgD2wVBSBVFcV/bFZqN8hKAvn37XjHGQyqmEd61mK61ZazJHIwAuLvazdzk6b0ZO7E7iuZex+jiGt55fTPvv7WFfbvP8siTk5k3uS9hAR6s2JKIs5MKQRC4YUhP+kcG8c66/by+ag8/7DnBAyMDGVM8B5m1ni4AFT3tkRjN4j7/N300oihyMq+IlcfPsO5kCssTkhgYHIi7VkMXfy8ivTxwUipQyGRIgOqGJirqGsmtqGHf2WyySir5aOEMhka3ziBnFFfw0dZ4Hp0ylGBPV8CupfuPJRs5fa6E1xZOJq5rKAD5ZTUcTs1jdkQZuj0DAFifeQ+R2h70DvFn7YEzvLVyL/pmjYJhXe37WbshkW07klm78gFkMilHd5/FYrZy/d2tSlT6BgPvPWGvMnLqYAYnTxUS0SOYeXcOY/Co1rTvC+4l3y6PZ8uOM3z81k24umhajn/t1pPE9Y0gKNYeQSAHTCa70erV1T6CQRBgxM/0Ov0ZMs0QmPIOaINw1+7DVfPLgvKvhl/a9qg6gTz5DU6lj8cQfz/y7E9g3GFq9QacNSqsNhtl9Q24ay9/rNuSM9h1Nos3rp+IulmY/usdx/By0qJrkrQY3/P4mIvoqTwD2P3HbmoVU8Kj2HA8lbsG9MVFqeLrybO5d/8axq1fysLescwM6kO4rr3xDNK6Mto/ioE+IYzwC8dV2XG+YWvxMT7OXMcAj2gm+8d1+L7GVM2J6kTG+oxHKtVCzWmOH74D3LvT7+STJFccQSpV0tPN3gEo1NeiFZzo4x4KwNnScmr0BgaFBLVsc9TAjjKd5wmP9KFTZz/S04opK63D28fe466q1ZOcU869D39HYVENy76+m6KCKr78Yj8VtY2UGJuICPHihnG96RLmQ0y4L74eukuKGuUVVJGZJTBtTBySvu+ALgr87a6NQ/+3CKXsvx+5wjUywKIoFjb/v0wQhDVAf2Df5X91GfSF5JgMRGsa6eKaQw1xPOx6gtDA1gklRZshn6+fK6++fSM/bzzJ4g928NL7P9O7ZwjzZvZjUM/2YTPhvh68v3A6h87m8t6GA3y8OZH3TA8xz28/M30O41R9Eop+hsDW3p4gCPQKCaBXSABPTxrB1uQMjqTnkZRfzJakdPoFBpCYVQhAn9AATmTa/90/OhgvZy0z+scS5WsfuudX1vDx1ng2nUjFSakks6SSYE9XzuaW8s8lm3HSKPnPreMY3btVA+HLdUeQ1Zm5Wfmu/fJYFRypDWNuWBo/7DzB2z+1v9TRoT6IokhmVhn9+oahbFY/O7Y3FZVSil9Q63V886FvqS5vFWRxUUh488s7UWtbe0vbdyZjMlmYPLEHZrOVdz7exqZtpxk7MgaNprUHvHrTCbzcdcyf0X7CcMzQLhw5kdP+Hktk1FjdaNBLQWt/SC1WKzmV1Vxz0t5DI7FfE71Zha7qOBRvpUZvwE2rpqJBj9Um4u9y+dTZfRnZDO0SyoRudsNTUF7DTweSGNo1jMk9OlNXU0tmQR0CNkQkFNe641f0PvSyh0cJgsDs3l2pbmxqST/u5evP2km38EPmMZbl7SKx+hzfx93Xbr8yiYRXB7T375+nyWriw/T1bCg6woyAQdwbOQWpIMEm2jBYTWhk9vu+r2IvIiLDvZrlK8+8xAmDO55VtfiZ6/iuqhCDS19cmuOkKwyN5DTU4K2yXxO5KOAkyNEqFBc9jovxj39N466bFnPieDajx3fjlTc3sWtvKqJOQXqm3R1UVd3ID8sOcyatCJWLiglDorl/4eWF8PVNJsrK6ziVlM+yFUdw89AyYcIw8Gx/jQ7m5xLp7kGIq+tVH/OF/OEGWBAELSARRbG++d/jgOd/1UZtZl5yW4FGMLKxpjcKlZk7Yo5dVj9UEAQmTe1F/0GRfPD1Hr5aEc/GHae5mFhoHwAATKZJREFU++ahjBsW025YIwgCcTGhDOwczP5VD/LtCXg7Zzp7K2IY6JzBTQMMXCo4TKdSMqdPV+b0sfdS6poMFFXVUd9kxGC2oJBKUcvleLpo8dRpUDS7HQoqanj+++3k1NSQlF/MbcP7cueofjipFHy37TgfrD6Au07Ds7eMpU/n1lCd7MJKNh9M4Yahvngr7YkfR+qjMIlyhrtl4BUbQtgBN7JLWg2Xu7OGuromzp4uYOHCkS3LTXoDgs3eG7XZbDx3+xKO7rAreUkkAqIIdVUN7F5znEk32XtFFouVdz/Yhl5vIjOrjJT0IpRKObfeOJjb58e13JPK6ka+XXWEXl2D6BbdPtTI20NHkE/HlOJgLzcOp7WGr2mVCvQm82VlGf8QbCY0cnt8rt6ibFlW09hEhI87pbX16FRKfJw7RuOcp8lkJqmwhIHhwdhEESmweu9pLI0W7ps8GC9XJ755Jo6kbyezInsIu4p7YLNJOJDjxeg22xkaGdph275aHY/2GMltXfpRbqzr8P3FaDA3sbk4nj1lp0itK2V+yEjuDB+PrLnS8ubifawt3Mlr3R/DWa4jqSaZWOdueKuae9eGEtKkwSiafaRNggJtm4gJhURCd3c/zM1aJa5aNTqVkvTScmL87eGEdY12/Qyt+uJGOTjEg1B/V07FZzF2QnfSM0vbFcuUySTcsnBpS6hSfYWZyqqGi27rVFIe3684TE2DgaLiauobjESEeaFzUvGPhyfidYHuhNFiYcHGtTw6MI77+3cMxbtarkUP2AdY0/zAyIAfRFHc8qu26BTKgPAYKNzAKgYwwikZWecHruqnnp46nntsKrMn9ebDL3bz/he7WXc4hUVz4lp1UJuRSiWMGDmPEbYRJNf6sKpgMJ+em8jq9wtYNH4Fk8bPQXKR8t1NRjOn0gvpEubDmp1JWK02BvcMo0/nwHaG3mYTOZqSx9r9p9mfnoPJYuWGET155aaJeDtr2X08k0/XHMRZpyauWxj/vnUsrk6tw1qr1cZbS3YwODaEW2ePhf2doD6dY7UROEma6NNzDHJ/T5b9+2ZW7D7JWyv2gQAuWhUVFQ1IJQIBbaQl48Z34+uX1/HR08tJT8oj/WQeEqmE2P7huHs74+ymxcXDiQFjWkOokk4XoG+OfFi7PhGZQsqzT01l+JDO7c5zyZd7cXFScd9tIzpcL8FkIzu1tINhDfNx42hGHo0GI1qVEq1CgU0UMVgsly02+bsTdS++J25hsH8KMomVRNsQnllWTY3BwHCfCIrrG6g3Gi9rgCv1ejKqqjhXUkWsnzcze8eSlV9Bj1A/vFztvxNcY+gRG0kPj+/YX3KM/zt+Ex+fHkT3k5/j1WUGqC6fjOCudMJd6USlsYwSQwHuCi+cZW5YsWCwNlJtqia78RwZDWlkN0g5XZtPT9dIFvd9gCjngJbtZDcU8W3OBrq6ROKucGFb0Vm+TzPz+eDZrTsLuxmXpC142uwGz8kqQ29tPb4grRunq4vIqKtgdEBnhkeF839rdvDTsTP8e5rdAP/fpz9TVF7LP24aSZ+u7aUizyM1W1DKBCQSgXdfu4FHn1pObr5dwMndzYnKmgYsltb47Jgu7Z9pURT5YVk8mzafwiyKjBzRhRFxnfD2ciYkyIPIcO+LvtwrmuwREV6aK4eHXo4/3ACLongO+O8D5y7FkBWQ9QWHfq4n2s+DL/N7UJd2gIemDrnyb4Hu0QF8+tp8dh1N5+1le7jzxWVMHBzN/XOH4uXW5sHxGgzjjhCb8x2xPWqYduJT3kmfyIatmWzafZZnn3iIAG/Xdts+m13Cg2+uBkAi2rMWP1sTj0IuxdtdR2llPV1CvTHbbKTkl+KsErhzQBOTh4/AK3Qwx1Ly+GjZPn4+nEqonzvzxvRiZJ+oDg3j61WHOZGcz7P3T8TNVQejdyKeeYXd+wMZG6VFHmsXxJZLpUzsF817X+9lxKAohnWPICu9BJvZ1m7ib/i03uSeLSIvvRgvP1di+oZzxzPTkCsubewOxrdPr7aYrFRVNbZb9vlX+9i67TQPLRpLkH/HiSEXFw0erloa9Uac2rg2Qv09KGpoIKu0iu4hfozsHI6/q3MHZbo/HO+hxMz7iReyvueT9CdYkixHFGsRAY1STnm9/fy9nFrbUVJRCR/tP8zzk8bgo3NCp1LSM9CHoup6imrs7ozO/p4cOZmD2WJtqVnIsHWQtZShdWm86nyAb1ODuHWpnkeipzHqxs+QusVe8XDP1B1jbeE3AIRqIslvst+zQHUsqfUZ+AsKhsuCWNTzPiJd24eo1ZgaeDbpK4I14SyKvBFBEFiRfRx/jSsDvdumNd/J0eNV9JMWQWQwSvU40nNPYbZZkEtkuCrVTA/szpHCQu6JBleNijuH9GVHSiYJ5wroFx7I/Il9+HZjAg89u4LoSF/GDu5MoJ8bCkGgvLiW+J+TaKpqZNBwu6Keh7sT7785j3sf/pai4hrkcgnPPDaZ517b0HJY0Z3by8keOpTBymVHGD02lnvuHn3ROYy2WKw2TuUWcaaoFF+LhjPpJYQoXBnY6eomay/kLxOGhlQFnRZRtuEjhnlFsisp66JhVZdDIhEYM7Azg3uG8dXGo3y/5TgltfUM7R3JDSN6tsTT4t7L/rdzFD1dMviqbwYbCvryXsp0bnrqKx69aTSTR3Rt6d12CfXhw3/MITWnlO82JVBbbx+umsxWCprLW5dU1jGoeyi3Ru4jji9QSi2kb/HnpbJ/Ep9hpFOwF/+6fRyT4mJaj6MNP609xtrVx5k/rR8ThjfHZ2oCSfP+NxVN39N/wBjOpBXh7aHD21OHvr4WnShhWHQoKoUMnU5FZIQ3dXWtxUHVWhV3Pz8Hg96IUq244jDfYrGwcfPJdsu6xgYQG23vdYiiyPffHCDhaBZTJ/VkxtSLV5WV20QqsisRLpj+6uRn70GlpR+le0Myka49iIyd9F8rUf2W2Fx7c/vxTE7ktqrzSQTwctbQydeLB0YMajcJJ4qwOzObxPxCJsZ0xkWlIqehjkprE8uTTnPvyAH06hLIkZQ8vtmUwJ3Tm4e5Mg10fgBKdtA/YyzayCBeSp/D6/lj+PijdXiGpBMe4I7eZsZLq+XBQYM6HGs/t2GEaKKoMpVjFc2YbEPRSJ1w1hdz18k3cTpfQLVoE4w7bC8vBOQ2FvNJ5hrqLXpuD5uPh9KVA0U5HMop48XBY5AK7dulWuWGwSUS+s8kuOAELsUZ5NRXEaXzAJuRaBc/XkzbzanyYnp4+XHbkD5sSUrn3W0H+O7u6+kbE0yXEB+2dU1mw7Yk1q49TklxLWHuOgrSy+g/IIz5D4ylz9DW0ZWLs5pP37uF6de/T0VlA6OGR1NUUstnX+9DAKIi2mdLZqSVEBLiyaJ7xyC9yHN1IV/vOsi7W1qz6NYWJpOWU86KR+df8bcX469jgAG9yUyjyYSnVsOWsiom9Op8yXXj96fx8Ztb8fV3ofugCIJCPOndKwRnZzUalYJFc4YwfVhXPthwkLdW7WVzwlmev2U8kf5thnnN4jqCANOCjtHfM5MPqt7jg893sWFrEvfMG0Kv7sFoVAr6xwbTPzaYssp6ftpxqsVXNbp/J566YzTOWjU0nIP1Syhs8GBFVhzLi4aiU9TxwA1jmTu250VjR00mC199vZ8V648zeEAkd90Q185QHjh8GEGAwd1CufnBLxnaL4Qnu36GPGMfBsMz2ErjgW74+rlSnFfFqWPZjBnXPoVZ1aZixaUQRZGnnv0Jk8mKQiHjpnmDGDsqFl9fuy/XYrHy3ttb+HnjSSZN6cmDi8Zc0qDr6w1ERfmguiBkLcDdmXB3gcbT70D5XvvCTg9A3/eveHy/NyIiyuaEEIkgYBPtteBq9Aa6BfjSLaC9Fm20rxdjoiJYfSqFniF++Gh0WJprGRYZG7hz2Wq+vHE21Q1NDOsV0XGHzW0v1jmfb3q/y67abqSpRrFHH4JQI3CyrARfJ6eLGuD9FXtQSVUMcB+CStpm9iLlxvbVq6uOQelOil17saloP9tKE5AIEl7vsYAuLiE0mc18eCoeD5WWycEde96Bag0acw2YG+isDSSnWOD02bVEFf0LDOVc7zeDH5zH80PqKXp4+aFTKfn0thk4q1UtbcNJq2TWpN7MmtSbqupGSktqkdhsOLto8PZ1QXqRKARnnYpZ0/qwat1xsnMrmH/dAJavPkpdc8enLYWF1Ujgqowv5jpGVDzK+9yAjdb1J17GzlyJv5QBrjLo0XkqUSqk1DcZO6TV7th2mqLCam65fRjOLhpiewRRWlzD9l3JFBRW4+JqXzZ7Wh96dgsiwNuVV+6YxKiekXy6IZ4H3lzFgmmDmDm8m72BRCywl4Vvxtc/nBdvv4lt+1NZ+/NJHn1qOaEhngwbEEl4mBchIZ6E+bsjiiIyqYRHbxrJrNHdEQQBi9VGamoZm4/PZlNOP2QSK3d33cLsHnU4T376ouebnFzI629sIj+/ijvvGs711w1o7R1bjbBvOkkJwcQ6q5Adup6auuEEcdSeSim1+66MGd+DfgoKjT833jyYn76PZ9b1AwiL6BjneTm++e4gxxNz6d4tiLdeuw5Zm+y0ujo9Lz+/jmNHzzH/ljhuu3P4ZXvTiYcykVhtSGXtHwpBEMirtVCrbBNFnfEJdH8OFBePcf2jkEokfH7nLHafPcfbW/aTXW6f5EzMLuTOoR3TwhVSKT0D/Hjt6B62/5TOozFDqW2TVLI/L48ZX33PtzfMxkl1kReg3wR7DTJ9ATKJyDi304wb8Sr3+U2goqkRvcWM3mLmeFkBUhkoJFLUUgVqqYy1hSsQEVldsIw4zxEM9xqNj8oPk82CQaqiWqomW+5FltKLnMJ9nMrciIDAnKBxTPEfipvCGbPVyqLt6zlRVML3U+aiujAbMX8NDVmHMWOE6oeJjFuBTi4nIWMbs6R2jWdd8RpucInl5bN1jAqKYHxoFEHurpe8xu5uWtzdtFc16TrvugGcPVtEckohYSGejB0Zw6r1icQfyWJEmx6zm7uWA/tTaWgw4HQltbXc5USIx5jnHcB3ZcMAAZlEZGb/K7t9LsVfygDXmYxUG5swmiz06hJAmF+rAU5IzGb9ukQUMikWi5XY7kHEdreHM1mtNs6mFpF4KpdVG09w8HAG40d15a5bh+LpoWNcn870iwri35//zCvf7KC0so6FMwcjjbobi8ydL1Ye4fphWk43TKXw/Q+4vud2hk4NZ9fg2exPKGPZD/Et5bGRCXgE6XCXKzlzNJd9O1LQ601UVDdSVdNIv/BIZoTHc3OXXXiq66HbFx3Os0lvYvmyeL778TCenjpef+16+vZtHz5HznfU5uwnMfv/WNB1CwWZGcBwAuX2TDK1zEhXpxyamqRQnQgafyZM7cXWdSd4/5VNLHxoLNHdOhYZLMyrZMPKBG6/bzRKlRyr1canS3eTmlrMhHFdeeLRSe0mFs+czufVF9fj5aXjsX9MZuKUnpe9h8knc7HZbEya2TEt2mYTiVJX4CZtM5MtWu3VIP4HEASBUTERDO8SxupjyfxnzQ72nM3GYrVd1G00sVsnXsvcDcAnCUfs22j+jyjCmdIyer33CXO7d2VkeCixvj74OzfHrMo0MPaQXQXNUAZht4A2lJpD99I/q31bCPSQUWFs9cMPD5YgCFaMNiM7S7eyq2yr/QuNCiLn4F9fzSlFMCrRSpjSjYV+Yxnk2QMPpSsABfW1PH9oF0eKC/i/waPo63tBO7FZ4dh9yMXpGJGBuQ7JsfuZ6/4U8ZnBiG6tXqPbZbvZ7HUP35w+QYy7F0HOrle8zo89tRyAfn3C6NcnlPAw7w5p3R7uTkhEaGju9d44dwCr1idSUNQ+bHHsuK6kJhWw9ONdPPSPKwjq2OyTy/f6bWVVxQCabCqGBTTheoX47svx1zLAzT0IvcnM4ZJCnm2ePW5sNPL6O1vQqOV88sYNLfW2ziOVSugaG0jX2ECun92fjas3sWRZEocOnuCNx2LoPHgmbs4a3n14Jp+tjWfFpkRqqvU8dedYMq2D+fF4DjtO1FGbuxlRFBgkO0Kw+yam6LYw5bmzGM028vOryM2tIDengpoGA2UVdUhlAqJNxN1NS9zASEKCPenbzRdd2TKoC4eAKeDbPmYx8Vg2b7y6kfKyOm6+Yxhzr+uP5mIugvosjpdHAhL6eJ2juNENrVIkMCQKKkEhtVLdqCO/zhfc7T00N3ctL747jycXfclDd36Bk9LA2AH1hA6ag1XqRHJSAXs2nkQqkxA3sgvBEd68+e4W9sdnMHt6HxYtHNXyIFgsVr79aj8/fncIbx8X7rp7FLEXMehtqSir5c3n1mKzigy/wA0CUFRVS1qdD9e5m1oXhtxwzUrSt6Wqoh4XVw1SmRSpRMLc/t1ILS5j2eEkPtl9mAfGDO7wmzdO7sXWnNBuEC1oFSr6+fsRTjZhYjoHm8IpIoAtqensSs2iWt9E39AAXNVq+gcF0D84kM4Bs5GmvASnnoXaFHTmBl6U9EODCXWXB1D7DUcqtWGwWmiymtBbzByu/RxDc3SCIIBcUOCh8MRX5UdnqQtunOQ2pQ8BUfcgVbZ2YvLqa1iZkcTSk3ad4ndGTWJ82EWSJax6aComjHKM50WbG8/RLSSGr87WEm+KYLDSriIo9x7MO2GTmbH6e27e+BM/TL0O/7yPIeNj+0sm9ll21Q+kuLqe2YO6oZRLie7sx+GjWSxZuoclS6F371C8vHQM6BtOVKQPnu5O7NyRjNloxs3Fbhy9PHREd/ajpKx95mRUlC8xsQGkpRTyxovrueehcR2q6bQQfB2ceR5nQxn9nTLYW9eNftEXn8e4Wv5SBrje1GyAjfb0wPNhPzsPpOLlrWPRnSMvbqzaoLSWMlt6M30maFh8bCKPvmDhjWeVxMTZBW7umRUHFpGv1h0hxM+deYHreCx6C+9tm4YgioDIhtP9uW/4ZqjPgMrDKL3iiIz0ITLyKuUSXe6mscFASXENEc2uQ1EUWfbVATb8lIC7vyv/+s9MYrpexqAFTuNYaTpaWRNd3PI5VTQcQ42I3+DHISkb8lYyKCiPGunAdjKOgcEeLL5jObNenUqDUcWafSrYtxdBAKlMysz5A5l+3QAOxWfyr/+sITzSmwfvHcOs6a091qLiGr78aj+7f05i/MTuLHpwHFrtpa+7KIoc2Z/Ouy9twMfflfuemIi2eTiYlllCpwh7GndakV27qdPgh0DoDW49IPz2q7umvyP1dU0899D3BEX58uA/p7Qk/fxr+mjcnNQsPnIMuUrGPUNaq5ucqSxhfXZrFWLRyUYDegKVifxLb5cpvUkJ+E/BPHQtKSVlJBeXklRaxpG8fLanZwKw2Oc7RilbhdvlAtwk2HvTNKyCgI7XJzNlNQVNDcgFORP9pjPGZyKKtpq+YfZ7UmZo4FxZDunVFWw8l0ZCWQECcEd0P27v2odAXftYbZtNZHtiOgO6BOPqM4ryYjcqrU7gCgRMZ2yX3vRMOM4H9dMZpHwPIXgOdP03YXInvpg0i9fj9zP7qy94WfMNI9V2sSrib2Gv8QfWnihm6bajLBg3gOtvGMCCO4ZTUVnPscQcjp/I42B8Jjt2p2Cz2PD3caG8sIahQzsztI27ITTci71HM3hMHNfOhXH3A2P4duk+1v6UwMlTeYyb2I3ps/ri6nqBYIDKCyYch8wl9LJJ2XsCBE37qIpfyl/KAPfy8eerqbPYc+YcGrkcJ6W9UW3YegqJRELXmIArbAHIXwOWBkJdGnhi8Coe2ryQH3+M54luI3FuFtC+e24chiYzX3x/kIhhh/j+wIhm42u/qVtSenPHoB2oFSZQ/jJfKsDZMwW8/O81IIp8seI+pFKBbxbv4ccv9jNyfDce/dc0FMqL3zqjwWyvUuw5kBr1SMZEnkHmPYDywuvQORlR69wh7kcY9B3exng2L9lDdVUDbu7NIVKGcpwMx1hz72nmL30UvUkJ2JMubFYb9UYLixZ9hYeHjshIH+57YCxhbdSodu05y9vvbUGQCDz30hzihl56gsJisbJvezKrfjhMYV4lUdH+3Pf4REIjvWlsNPLme1vYdTiNh+8Zy8xJvcgrqSbUw5XIHrNBecMvvq6/FzpnNaOn9eajN3+mvLSOf71xXYs/8e4RA8ipq+Wd3QfRm808MmIwgiDgqdIyNTSaYn0dZfpGypsaabKa+bbWBbkwmUel23ESTFC0Cbm1jh4BfvQI8GNe8z6LautISFxOv8KUSx+YqrXtiaJIk8VCo9lElLo3GsGbcOUQamvlLKs/RaGhimpTE1XGRrRSFXuKsmi02EcaXZx9MRjhid7DmBEWS4CT80V3l15YzlNfbOaFW8czJe5HonPf5niJCJELoedrOCmUXN9vOB8eVPFFVDx39mv1jffx9ee5uFE8tvJznqiaxzAhlYc8txKiqOC5gYVMHXI9S7YeZs3B07y/ej/j+3ZmztBujB/TlQlju2Gx2sjOKSc9vQSpVIKTWkH/ARHtMmAjQjw5ejSLiop6vLxaz0EQBG65azjDRkezdMkevv3qAKtXJjBsdAxTp/WiU6c2RlYTCN2fp6e2AE6stAvi/wr+UgbYU6NheEgYCWkF9AsJQBAE6uoN6JxU9O5+lXF6bRqtu7qBZ4ct49HNi9i57TQz59h7MIIgcPf1cRw6kskbh4bjpS6msrH1hhotCp7deBNv/UP+i8qkWy1W1i4/yuef7MLTS8fTz89CLpfy2dtb2LTiKDfdNZybFl56Ais7o5RH7vicf71xA117h3D4dBPz586HcZ8gpm4lOqKmdWWJlP6DIvj6sz3s3ZnCjLnNvTOFO6gD0FLIjf32s/Tg2Jaf2CRwYH8KXbuHMXtuP3r0CG45liaDicWf72HdhhPERvvz7NPT8L1INhtATXUjm9efYM/mJHLPlRMc5snCh8cxZlIPFEoZBoOZx59eTmpaMWqNnPEj7JMchxLP4Swq0CivYdLFJZh2fX80OiXrN5/k8ed+4vV/z8ZZp0YulfL6jAm4aVRsT88kp7qaV6aMw1er44Ph7cWKkitK+Xjbs3xpjuOkJYihQiYzlBmESTsG+/u7ODM9phMUt5/ZrxXV3GG4Hb2goSk7DH3Wx6jMcorq67E1R95EB3pxpsoE7AIgLsyHsw2FuCk1uCm0+Lu4Miu0O2E6DyKcPQh38sBX43zFia+DRzIZEBTAwC4hoNLiEjabtIzDFEc+g5/C/nzM7d6V40WFvLx3P24aLbNiWyUtu3h7sXqkhhV7V/J22RQO6rtwk/YgC5xX0FfyDX1H30yq9mZ+OnCazQmpJGYVUicx0SPEn25BvnT28iC6ZyB+Hs4tWhptiQ71Rp9VRe658nYG+DyhYd688Mp15OVWsGtnCit/OkpefhX+AW48+MBY1G0y8rxd7B0Ws7WjpvAv4S9lgM9TUFlDcZU9nKaqppFjp3KZPObyJdZbCJwJXkNaxMI7h6np3S2IVT8eaTHAYC9n/dS94/n0o00MDkrg5bBvSSoM53DNbHYelnC6MJR1ueOZ3v9SO2pP8vEcPvrPGhr1RoaPjuH+xyeiUEi5Y/I7FBVUMeW6/pc1vgDpyYV4+bgQ0dmXisp6ukUHENyc2bZ3byp6fXvpxogoX4YP68z3i/fQtVsQkV387DGfA7+A+JuZ1vMIPyXGUdukwdu5hjuGbqd3ZD2uN6SBtNWlkJJRzPPvbsZNp2b+DYO47ea4Dn52gIy0YtauOsbuHcmYTVYmT+3JggfH0mdQZIvv2GSy8NhTy0hNs5cbspltCBJoaDKSdK6YW8b/au3+340xk3qg9tTy79fW89j/reSdF663V+EWBP45bgRfHk3k9V37ya6q5uM50whybf+CivX04aMh4zmx/wl+svbkfdso3msaw8TdW/BUaunu7UsXNy8i3dztmX8+wyH0ZshprhPn3Bl57CuoEgtx0/qgVqjQyOS4SzXIJBK0cgVahQJPJw0ahRx3lQZ3lRo3pRrNr8wkLKuoJ+FYNmGhXni6NItg9ezC55uO8O2uRP4xZwRgD9F7YewYiusbWHn6NFKJwPTo1jqOys53c3PFXiZoX+brihEsLhnHjpoSXgv+ji41T9Cln5Zn593LQzOHcjgtl51nsziVW0xKQSmV+a0hdG46NbGVMlyc1Lh7OuHr7wp6A05GC7Vl9VyO4BBPbrtjGHOv78/338ezb18qH7y3lSeenNLy/GnUcty66WhU/jnlKH93xObJDQHoFRtIB/HeSyFVwJi9ULobLHrwG4dXyg4qS5o6hL/07hZMaHAAqbXzmDfpYYa7RDJcG8LCygZe+c8aPnp7K4ZGE9fd2hqba7XaSDyQTlVZHTWVDRTlVLBtlT2w28vPlbufnUZwJx9+XLKHzT8ltJRdufepyfZtpH0Iae+CRAbRT0JEq48v9XQB9VWNuLppqcxu5NSpfGZNsctInk+wsNnEFmMnkQjcvHAEFrOVhxd8yderH8DDSwd+42B6Pmp9PveUPMpP+/x5eca3uGmbZ9IrDoPPcOoaDKzacoKvlh3Cw92JBTcNoXfXjiONs2eL+Orr/RgaTJxLLWbCpB5Mn92XkLD2k2cJx87xwqsbqG8Tr2k2WzlwKAMUEqJd3RnW/cr16q4lcf0jefmZGXzx3UFeeWczLz4zA0EQEASBOwb0IcrLg0fWbmbRyvX8c9RwBkW0v14G/+mET+rFS7UJPKCOZkO5keSyctZkpLA89TRmixURCNA5E+nqzisjPsQ/5kkwVYHnYDQSKd+HXfzYfjUN5yDhfqg+Dt7Doe+HoPLm+MlcPl66m0ajmevva50L8HHTMTeuOyfSCjiWmk/fLvaoI6VMxuIZ01iwdi2P/fwzTWYzN3RvloGUqmDYarz6FfN48VYGbXuFH8qGMj/lYR4I3MT1OetRR92LTq1kbM9OjO1pnwSsaWwiu7iKU3nFGJvMVNXoaYwvoqq8nsyzRbi6aZA36OndP5TOMf4dTu1iaLUqFi4ciaeHEx99sJ1+/SMYOcreY1fJ5eTX11JvMV1hK5fnL2mAdSpVi6qSt5eOpNMF9lpXV4sgAV+7xEl9vYGMc6WERnh16H1WVNajVMupKjRTKe2Lt9beo3HzcOKVd+ez9IPtLHt3GxqZhKk32WfBD+9M4cX7vumwS7VWyeKfH+Pd59ay94nl9jdH80vjwWen2gPFi7bC8TYaF0fuAOcu9kKegI+/K0ERdqOm1Sjo0S2Q+noDJ062Cths33mG8WPto4GS0loCgj249/GJ9NyXZje+55EqQBfB6DgVo4M+bXdt6oRAli8/yIrNiRhMFq6b0pvb5g5Cp20/e5yaWsw33xzg8JEsXFzUzL9xEC+9MhenNrPMDY1GDidksfnnpHbH2ZYDB9MR1FJqa/XERrT647KrqsmurmZoaMivErT/rRnQO5yMjDI+/3Ivr768AWe1gpKiGm68dQhDu4Xy02038sLGXSz4djVPjBvGLYN6tbStjxOP8ENyEk8OGMrM4FgW+NjD12yiyLnaKtIqK8isriSruorMmiqc5Epwah+HWlBfi59W99unaO+faw9ZBMTclSTnytlafSvrfz5JoL8bL/1zBqFB7bV7F4wfwG3Hz/HiN9v55NHZ+HnanxGNQsHSmTNZtGEDG1JSUSBlVvc256H2A7dexDmnE6su4CVxNssrB/PZHncG1Wyma4Av0X5euKlVpJdXsj8jh30ZOVTrm3ho1GCenjwa5kNCUi49YwIRRJG6Gj0qtQLNZeJ9DU0mVBeI/8yY2Zdjp3LZtPNMqwFujns2Whw94A44IedcdgVWmw21SsHMiT3ZsyuFeXMGtPPjXImDRzJ54dX1NBnMjBrbPizKarXxzxfWkJZRQqSbSztnP9hD2xY8OAZjeTVfv7qBbv3CCO3sR++4KJzdNNRVN5c3ESC8ix8frH0IiUSCvrH5jdqmxz54dHPDLN7a8SBLttkNsCiirt1K0gk5eYs7ETjsfnJyBU6dyWfD+kQEQUAURT5ZvIvRI2OwWGw88sSPeHk6sfCuEUyb2zFZAIDuL0LlEcorqjhcFsv+xpnUnT1KUmoRI/pHcfucgfa6e82IokjS6Xx++DGe+noDRQXV3HXXcGbO6NNy7c1mK4ePn2P7nhTij2Yhk0nxcdUyc1ovunYNJCLMm9KyOsrK6igrrwMBvvnxMI8/NKFdvOfm9HTePnCQlIcfvIq7+ceSsCMFRa2J3Rtbq2APHtaZmG6BhLq78d51U3hqzVZe3bKXnPJq/jFxGGqFnHFhUezLz2XNyRQ+2HmYOT260i8ogHBPdyJc3Il0vXxli/y6WoZ9/xlhrm480bc/E8KjEaS//DE/cbYAqVTAVavmwSd+wGq14swoFNJhVDU5UdNcYFSrSeGeO4YzazAoT46Dw0ngMwYGfgkaf5w0St66fzqPv7OWxT8d4v/untDyslHJ5Xw0dSr3rlzP+3vj6eTmQdegNhmDbj2g8yO4pr3L65HfkiiOZLfT46zLLGDjmbRLHvv5lO+Ckmoefukn/L1defCW4QzpG3FJF54oiuzae5ZP393C0G7BPPjCnJbvJBKBqChfvl0WT0OjESetEqlEglwiweAwwHb+s2Mn4e7u3NK7F10CvDCYLOSV1xDm487wIZ1JTy3miSeXcdedw+nWNeiyqYfl5XW8+MZGTp4psEfECwKhndunkq7ekEhahr26cFFjY0vYVAv5axGO3cetoVWkqOeRGn+K0M5+qLVKYmL9OHzAHgcpkQg8/sYNLRVi//XOjbz17Cr2bj0DgF+AG67uzeEwrh1jY3FpXpbzPXHaD9gZdgMrTsXyuO4hZo1dxtod2dRWtgbh19U28exLa3nhnzO449ah7NyTwv2P/UBEmBehoZ74+LggCmA2WzBZbWTklJNf9ARB3nJO5dTj46lj3JBAHr9zDJEhrS4Ei9XG4YQslv94mOSUQtxcNcyZ3Z+pU3q2RAQUFdewYcspft5+Gm9vZ8oq65kyvgdjR0QT3cmv3cMREmxP+d63L5X339vGmOHRTBjTvqdXazCgkslaUoD/lxg8rDNnzxS2fBYEGBDXOiHrpFLy/vVTWbLvKFsOnOWm5B95447JdPX1YfWseezNzObbYyc5nlfIR3vs5emdlAr6hPhjkYmo5XI0cjnOKgUyFwFnhRKdXEmV3oAInKup4t4dWwmX/sDYoADmDLgRpUyKTCJBI5XjolJddj7hw+/3kpJVgodWTX2NvbNQR3uX0b1xJ5j26NdoVDJYHw6NzSOYkm2QcC8MXwdAiK8bs+K6smTpXk4MiqF3j1ZlM7VczgezpjD/wx/517JtrHh0fvvRTJ+3octDCIZy+rj3po8g4XGgoqGRhJwCnlm3Hb2pfVWK/Ucz6eLiQfdIf958ahafLT/I60u2s2JTIvfOG0p0lG/LudtsIpu3JfH5d/upaq4OM3hqzw7XIzTMk84xflRU1uPUHFL57vjJhLv+ugzM/72W+18Sn5tPpb6JW3r3oluwL31CAziWmk+Yjzs9ugdz3dz+fP9jPI888SMx3QLRG8z4+rkgl0tRqxS4OaspKKwm4Xg2BmObt1rzjaqobHXcF5XU8MnS3S3GWW+ysHLdMebNsVefwFQL8TeBpZG6RhdqK424168AJgAQ3T2Q8ko9WWeLmXPXCMLaKDQpFDKefHUuCoWU7RtO4ebWZgY87GZ7IcG8lXY3SdgtEDTT/l3ZPjx19XT2L2JVShxdPAsZPSaXr1e2SvGd5/jxbAqLqxk7OpYB/cPZdyCdrJxyDiVkkV9UTWZ+OXKZlO5dg5BKBIb2jyS2sz+PRfoSEezZ7sEtKKpm0/bTbNl9Br3eRICLEw/eP5aJE7q3CLsDvPfpDlavT0QiERjcP4Jpk3vSp2foRTPETCYLJ45ns2plAg0NRny8nbl3wcgOE3u1BgOuqiukj14j5s4fTEJ8Fkkn7Eapc0wA7h7t5SglEoF7Rgygu48vz3zzM/Pe+IFnrx/NlP4xjIwKZ2RUOJWNetJLKzhXWcW5imrMWDldUUpRXT1NZjMqpZRsWQWmZt1me1FEGedDIs9ZPVicY2Bxzpct+42QulNc10AXT098bBp6BPsyqks4UQGtbrYXHpzCuYIKqmv0bFp/krPp9klRAZFozzzenbYJ5YgVoFZAQ06r8T1PWXvRfze1EpvVxgef7eKLD25r14Z0KiWLxgxi+d5TJKTmMzg2tP22tCH2vzZ4OmmZ2LUzE2I7sfxYEi9u3oPFZkMAMjPKuCthOYumDuKmqf3p3z2E9TtP8+XKeJ5+eQ1OagX+fq4kJRdgMJjtg83mZxnAN6jjKMMmQnLzNTjPpMhLV+y4WoS2Asb/q/Tt21c8duzYZdeZ/d0P6JRKvpo7G1EUmf/8d5jMVlY8f2vLsLWx0cChI1nkF1aTlVNGdUMTDY1G9E0mOoV5U1hQjdFopri0DqVChtFkaRm6L7xtGPOvG0hhSQ3z7mwtYSeRCNhsIjonFRuXNw+Fyw/B9tayLaczfYmM8UA5K4m96xL54uX11NU0Mvu+cVx398gOPqfzPHPn55zYn86T78xj+OSerV/oi+wGWN2mV575GRxdSINJybTv/wPA/z0cRaUlBH2DEatNxGi0YDJZGDwokt69Qi9+ISsT7FlISKDT/XbVtwto0BvZmZDO3uOZJO6z9+QH9g1n8phuDOwbbpdONFXbJwwbsyFoFtvTwyksqmbS+O54XyBuLYoi+flVnDieTcKRLE4m5qJUylCo5Myc3Y9Zc/pdNKrixU27KNfreW/ulIufSxsEQTguiuIvDqG4mrZ3KY7sS+O5Z1ZhMVu4ZeEIbrpjGAClpbXIZdJ2BrmstoGnv9pMo96Er7OOR+cMI9jn6ntXRquFepORAwW5PLxjM3YfloCL0IiPUMv86G5ovfthsdlo0lsob2ikUW/i1NlCcsqqcK6TEujtyqIZg4nrGd7OQKamF3P3w/ZIi+AANz56biDOvtH2iWAAmxnWhUBTGwPlOxZGbQMgJ6+SV9/7mcxzZZgtVmZO7sWDC0e3cyeZLVZGPvIxUzsbebJHPHgNI1d1Ax8v2ctTT0zGze1yVRThTFEpDyzbgLfOia9umc3XP/7Id+vL6B1q4cV/3oyzZwD6JiPbdqeQnV9JUnI+WbkXL8q+bPEC/H1d2y2zWG00NBpw0qou2mm4Epdqf38ZA3z7ylXUGY2suskeqr7jWDrLt59gWNcwbp56lbFgbTCaLMQfzWLLjjMcOXaOu24diijC1z8cwmS24KRVMqBvOM46Nc46FZ0ifBgyqHmIaa6HNQFgqcdmg4YmBXsLbmfFZi8qiltTIZ9ZfDtDJl86ldGgN/HuMys5ejCTEZN7cMuDY3G9VEO0WSDhHjj3NQ9uvoszJfYew9ixXXnwvrGXzESz2uw9ZKlEArUp8HNvWiqbSjUwKQl0EeSXVnPkTC5HkvNISM5FbzQT7OvG9UO6M2JQJ7w82hhVUYSt/doJFTHwKwi/teXapqUXc/pEHsnJhZxNKUShkFFZVoevnyv9B0TQf2AEvfuGdfCt7z6QRpcoX/x8XLj14xVIJAJf3jP3ktfwPNfCAN8y6jUMVit1GUVED+3CO8vvx2qxceftS1Cq5Lz97k3t7ovFauOnfUl8uOYAgR4uRPq4M3VoV3p3DmzVA74CZ8pLmfLTt4QIFdyn2skM+QkUUglMz7VPbF2E6oYmdh/LYO2eJErPVRMd6ctT947D18s+YSaKIgse/Jqq6kY+fedmvC8SQ0vJLjh8O+jzwK03tsHLOHlOzs9bkjhw/BzBge4UlNTQ0GhvW2OGRxMZ6Y2bi4YJI+1utH88/QzOxiye7WvXeoi3Pc5zy32JCPNm4a1D6dEn9LLnbrZaKSyrYcfGNdyhWci2vF68emwuAc4NvP7yIwT4dezZNuqNrNqYyA+rj6Jvss+/LFuyAH8f10vuJyG/gO5+vr/I9fWXN8DvbDtAZlEFH902A7A3mn++t4ETqQVMGR7LbdMH4nQVsooXUlffxPptpzielEfisRyGDorivgWj8LsgyUAURdJSizl5KJPMtBJy086hrkklI+viWUMACrWCsdcPYMadIwi8ICTrPAa9iW8/2sm67+Jx83XGN8gdz0A3QqJ80LhqCAn2ICzUC+fzkQXmBpZ8Gc+yla3Gz0mn4s1Xb6BTJ98O209Mzeeht1YT7OtOd7c8TBVJyAQraomRAr0XVdIYVG4hHEuzp4b6e7kwJS6GQd1DiQnzvbgfsTIBtra+9EQRsiTjOKx4nuOn80g6W4i3uxNlZ8sICfUkOiaAmBh/evQIISDQDaFsHzTm2BW/1D7YbCLl5XWYjBbuevQbRsR15ulHJjHtja+J8HHnnVumXvIan+f3NMClhdUkJ5wjbkJ3exYi9vbwyJwPyD2Vg6HRiMpJxYrk15ArZBw9ksVrL28gMtybhx+fiF9A+55ueW0DG/Yn893Px1DKZDTWGQj2c6NHpwBMJgsKuRS5XIa7SoWp2oBoE7GJIgq5jMZGA6XmerRFR1BLMzAILsh8BuIf3Q8vdyeigr0I9nW76H2z2UTWbT/Fh9/soUewLxNGd2Vcc7WT+gYDUonQksrf1GTqOKEt2sjNyWXbkUJOxWeTklKIVqtk/k2DGTsqltm3fUJbc6NQShkyqBP/99gUMNfx0P3/wGKT8NHIT+wrSDWk9szkq492ciI+i4lTezJ0TAw9+odfdEQE8MOGY3z47V7GBx7nmd7LOV0ZyrPxN9M50Ifbb5tCt/OFXpsxmS1U1ejRNxnZsfcsGZkFvDTfjMIlGLxHdNCaLq1vYPhHn3P3oP48MryjvseluFT7+8v4gHWNUo7vPofhRjMqpRxBEPi/RRP5dsNRlq4+zJHkPHROKtw9tHi6aJEgoJBLUSrkKGQSZKIEi9WG1WrFYrVRWlpHenYZMqmE1LPF9IgJ5P1Xb6RHt/Y3sLy8nu3bT7N1y2kKCqoIdnNCNNsICQ8mLKgH/WxWzp7IpTingqqyOkyG1gmD8TcMJPFINj+vepvRM3szYlovevQNa6dxqtIoWPDERKbPH8jGn45RXdnAyVP5lFQ1cDLNLv7drXcwVqnAiEGdGDW4M86u7Y1+Q72B15du55Z5cQzu2t7v6uasYc7onmQXVVJnUnKqojMWUUoXXT7lBlc8vGREhnozsl8UA7uFEOjteuX6azItogjp9X7sLu7BjuJeKBUK8gr3E+4nZfqocHpHaenJQZzkxyFiIfg3jwTib4Psr+3/lmoo6bqeNxYXcepkHj4+znTycOWO+Xb3Tk3jr1Oi+q04m5jDG48vI7JrIMHNeh/H96aSczIHU5O9x2doMHBg4wlGzupH/wERPPvv6Tz/zGruuWMp9z8yjtHjurUMyb1cnLhjygDmj+/DibQCEpJyyS6sora+iVNphZgtVkxmC9HenmQm5CEI9pI8fn5uVFQ2IJNLUMhDcAnrQUllPeZSK+aMI9Q2GAjydsFssDBzTE8mD4/Fy73VDSKRCMwc35P+3UN57c1NvPLGJhLjsxg5KoawSG8aG4ykpRWzb08q6WnF/LDyfhQKGbX1Tew8lMrGnWdIO1eKRCIwfVgsM6f3ZkhcJ5RKOWUV9S3GV2hWexOtcPdNQ5t3rsRZNOCpqWq9sEp3unT247nXr2fDqmOsWrqXbauP4eKupXufMMI6+TB8Qvd2RWNvnNIHc8bXLD7cB7XMyKPd17J4+Af889CzLP5wJb4+WjxDoshMP865ciMlDWoig9zJzLfvN8qtmAkvuIFQgK/zAZa++RRqVetcxuKdh+nj5sv0rl1+k7bzlzHA4YEeiCJkF1URHWZ/CFQKOQtmxzGyXye2H02jpLKeU+eKcHfWkJ5ThtFsbV5Phrm+/UxqTLAPOicV/bqF8MRdY+gU3ipYI4oiiSdzWbMukZysUooLa+jePYgb5w1iSFwUTrqLG4XGuia2/BjP6iW7qCqtY/rtw7jxofGs+eoA5zJK+efCr+jcPZCATr70HxRFnwHh6Jr1J7z93bjjwTZpwTaR8op6cvMqSM4qYc/hdN77Yhd+3i64OLfu38/PlX4joth4JoNHPlzHp4/NoV+X1pdImL8HD90w3P7BWAXbBtpFhABcYmBcPMgv3YtvezyF5TWk55Zz6HQ+h4+9gtTWSKXemT4e5xgVLWFor7fwUDeAIIcyGdiaq2/kr4HRu0Hl02J8RRE2JsXy8aeHMFvtLwydRsWCe0fj4+2C2WJFXQNh2ounO/+R+AV74OGhIS+9mOBIH7YuO8RHTy7HbGoforT2s92MnGUP9+vVJ4xPvryTd9/4mc8W72bZD/HMuymOEaNiWnSQlXIZCovALVP6t7un/w1Gk4WcoirSc8vYdzSD+JPn+G7DUZ68awxjB0e3WzfAz5V3Xr+RrdtOs/TDnRTmVZKaXISPnwsGgxmVTsWkKT1JySxhw8Fkth9OJSbAHor4wK0jGDOkC55u7SccrRb7s6ZRK1DJZShkEh65b1xLurpVlJN4rhOTOx9s/oUA3V+yXweVnDnzBzFtTl9OHc3myL40aqsb+er97Zw6lk1ItD933DsahVKGIAjcevM8nAxP8fHpcRisCp4dX8zHLm+y8kQMeSVeHD2XiVVmZZBXDh6BDXj5BMKkR6g/vZiC4iKKDT2pM2s5Vw25afF06TGMmvomPvv5MCnZpQzqGUq4R3ut8f+Wv4wLIq+4mrlPfsm/F4xn8tCrE0gWRRGTxYrJZEHE7geVSgVkUilSiXCRxIsG4hMyWbXqGLl5lbi4qLluVj/iBkVSWFBNakoRhw9k4OPjTFlRDUNHdiG2exA9+4bZt2WzQPl+LDhR0hBMYJvyKEaDmYQD6aQmF/LzppPU1xmQSAT6xUXh5uuCp6cOQS6hyWDGKhGpqzdgMlvw83NDrpASHuSJm6uaTmE+FBZU8/SzK5k2tRdzZvVDoZBhtlg5nJJLXNewDtqp7bA0QdFGEKTgP7ldynFbSqrrScwspKCkmqOncsksKEdvMBMb7ktecTX9Y4MZHFzPkMBy3IIHwfbB2Gw28uq9KG1wodbghE0UUEpMiDYJysAR2LxGUXbgNVJKg9ib1f38TWoZBs6e2597H7C/hArKapj51Bf86/ZxTBt6kfC8C/g9XRAGvZFXFn1NZUkNPgFuHN1+GovZiqunDkGAuupGrBYb7j7OfH/ylXa/tVpt7N19lh++PUheXiU+EZ707hnC0MGd8PHWccudn6NzUvHAojGMGRXz66o/N2RDXSp4xZFfaeX1z7dTXF7HxGGx3Dm7Y+UMAKPRTGZaMbk5lbi5a5EopeTV1LLxQAqNTSbKqxqYNCSG2aN7EhnkicVqY8uuM0gkErw97eWv1Go5R0/kcCTxHMW51ZQW1/Ls01Pp37c1q/HMyVyWLt7NddP9GRSVD15DwfnyUQalRdWs+PYgG9Yk4umlY/SEbtx421A0WiU05vHld2s4lCElTFvCP6JeQSbpGBFU1qQjvS6QbZIXOHEmhXK9GgERsbnixfDerli13hw4kUWPqABCAz14fO5w5FIpVpvtqpNd/vI+YKvNxiOvrSbcx52H72ivofvRqgPsScwkOsyH0vpG5DIpcqkEfw9nTEYLbjoN7jo1bs4adAoFCrkMpaWcpuytlNSryDFFk3y2grMZJXh76vBUq5kxvTejhkcjCALzb/iIysoGfHyciQj1wtfPlaK8KhobDKQk5dNvYCQBfircqr8hWJ1KvVFNuWQABcJYfP3duP3e9sdrtdpISynk6KFMqmv0HDiSSV1tE2hk2GwiIRFe1DY0IZdL8fJxITElH41agV5qJSbCj3FDutAnJogwb/cOD+xPCac5XVBCqKc74V5uBHu64umkRatUILmEX7Coto60kgrSSyvIq6zm5KlCiqvsJXH6hAcgNYh0CvaiU7A3nUO8iQj0bD9TXJfO/sUzefnI9TSa1XRzzya5JBSAHl5ZnC6058527eJHyukClFITRquC8zP55yNRxk/qzhNP2f29u+PT+GzZQf790GS6tBmdXIrfexIuP6OE1Z/vwag3ER7tx5jrBuDqaR85nEsu4PnbF9NrSCfuf2Me0otk7dlsIidO5LD+51McScjCYLSgUYg0GVvvSXQXPx5/eALhYb9cYY+U1+Dk04BoH9GM2IzVYxAvL97Gpn3J3H3jEG6b2v+SBn7NziQ+Wr6fer0RDw8trjo1N4yzF4c9nwFZ3dDE0TM5vPjqxotuQy6TcP20fsyY0BMf7/ajqk/e2MzubWf4au1DdgP6C0iIz+SZR35o+eziqiEwxIPwSB8UPk58u+4ow/2TGB+cSLhzMaVNbqRWB7Ilvw+VBh1VOLXz9bbqGoJNLSEqzJthXcMY3bcTkQGeJJ8poLSugSVrD/PGo9MJ8r1ytMpf3gADvPL2ZuKPZvHZ+7fg4906NF2//wzxp3PQ6VRkllZisdgwW634uulIziimpqEJmygS6OVCSV5Ny+/8pFWU6d2QS6wM7hFOdKcghg6IJCTIo11DXbH8CMHBHvTtF9ZucsBoMHNgz1l2bz1DwqEMRLFt47bfZplcSre+oXh665h74yBCwy8+GWc2W7FYrS3+7bY0NpnIyi0jIbWAvYmZmDWQXFZOoIcLw2LCmDWgK5387dt9d9tBVh49TbXePvzvHe5PQnEREkHAWaUk1tebnMoamsxmDBYLrmoVJW1ioIPcXOjn7kdsiC+9IvyJ8ve6qrCcnOUTWX1ERbRHPuEuxTg5eyFpykMEzIoQjH2/Re7kA6ZKEnf8wPDwLKQBE9mX1YVdO5JJPl3AyIFanhm3DhSuvHFoJmVNal56diYK+ZU9adciCqItX7+8ltOHMqivaeSGRyYybHrfi9YzAzDuu42EQwlsTO/LkcKYi67j4qImIswbT38XBAGUSjkqpQylUk5ldQO19Qbq6ptw12k4e7YAP+EUBr2cGO88buy+F6/Q7jB2P1abjaVrD/PZhsNMHBbDwqkDCfR07bC/Y8l57DqaQUSQJ31iAwnx7fhyf+WHnazccwp1pRXJBSJh3WMCee2ZWS1JDG05sDOFlx79kRsXDueW+8Zc3QW9gL07knnp2VUdln++bBF5qTt459skZBIbhY2ehLmW0WBS4K+tYJh/Mp0GTMe9xx00Gczs3b2B3YnF5FTb4+/vnDWIBbMHg76AxqP/4f2VCnYkByJoZAwdH8sTd49Fo7pydu3fwgCXltXx+GM/4Oqq4e57R9E15ur0H6w2G/WNRmrq9TQ2mTCefhdjzjqcpE14qevwUtciHfQFhN/2X59D8YbbeesLkaTCcNq+YwNDPdG6qKkor+P/Xp5Dl6vRLL4CJdX17D+bzd6UcxxJz+OleRMY2yOKjKIKnDUqfN101OibyC6vpryxkcK6OmqaDNQZjKhlMiob9ajkctRyGa5qNW4qFZ19vYjy9kCrvPpU7naYaiD1bag9C/6T7CFppbvB0gB+48nKq2P56gR27DmL1WrjvgUjuW5ma3p01ZlVqI/Pw2YTWHNqAIcLY+kzcSq33zHxqnZ/rQ2wKIoc3HSCb19dj9ZVS0OtnpufmErclJ4tWZAANJXAGn9A5KeUOD5KmNo8JBbQOanQ6VQ0Nhpwd3dCrVZglkJldSMmkwWD0UxUhDeFJTXonNS46FREBHvRVFOOU8ky8iq9Sa0I4ps5b+Hh5QHTs1uO7cdtiSxLOE1pXT3h0d6M6xLJ7YM6loW6HOn55VTV6zl9Kp9vlse3LH/qgQlMHt1ejVAURdIzS9ny8ym2fneY0RO7ce8/Jv/i3m9bnntqBQf3pLZ8nn3jQO5+aBwA5rzNZBxdTW6dF/49ZhEe7IGu8Qi49QKXjhNq2QWV7DmWwaj+nQjxc+P0klH8Z+0gapq0iAi4uYh8svTBDjHtl+J/ygALgjABeA+QAp+Lovjq5db/JQ/BqVN5fPb1PlLSihERcXN3wiqKSCUC+iYzXn7OVDU2IWlWqPL21SGVSvBw1XLLtAH24eyxh+y1ttoyYClE3NHy0WqxUVxUTV5OBWmnC0hLLkSjUZB0NJse/cJoMpnpNTAS/zBPIiO88TDsI3X1/Xx3ZASJ5yJaTPBH3ywgqsvVqerX1jVxJqUAfZMJvd6ExWrDKIho1QqcNEq0GgUu7hp83HS4OakRBIGc0iq2n0hnU0IqOWXVxEWH8tGimVe1v6tFFEWMZgtGkwVDsyGorW2iqrqRqtpGGhqMlBfVUlunp7a2idpaPTKFzK5PK0DWufIO24wO98bXXYfJZMFotKBoOENOoQUXWSOIEOxRwZNPj0XaecFVHeO1NsDnsdlsxG9J4ptXN1BZWkt4jD83PzmVbgObY8ibiu0x5IhsyezDO/Ez6OxVwfjrbmXUqFgST+Twr3+vBqB37xBuuH4gffqEXtk3vLkH1CRhtQlIJSLEPAk92z92ZbUN7EzOYnVKCpHeHrwybdxVn5fJaqXRaKLJZKa4vJZH/rEMUYSJk7rTrXcwDQYj9XUGzhVVkltaTW5ZNV1sTuRlV3D77IHMmNMP7aVKAV0lZSW13Dr7A6xWGyq1nMU/3ovfBQkVV8JstlJV2UB5RR0F+VXk5layYpk9Fbyta8JV3cSqn1+46u3+zxhgQRCkQDowFigAEoAbRVG8pLT/L30I9E0m3vtkB1u3n+nwXXCYJ917BdvLhttE9BYzlbV6qmoaeWrBWLp3CoCaZNg2ACyNnCgL51RNLxoDF6A3glwQOHskl/z8SswmK2HhXuSnFRMe6UNsz2CwiQgSgVPHc1B7OHEqteiCIxARTFakRhsSuYSe46KRaOUolTLUSjlKpRwnZxUiIgq5lL4xwcSE2+N3k5ILeOCJVl+XWi2nTtp+YkERoqHGYJdzbCOo1kL/6GCWLJp92ev3ddIJmixmLDYbVpsNmV5CVa2eRoORBqMJN7mK9Oxy+0OlN9LZ35MTyQUtv48K8CQ/uazls5NGicoEri5qXFw0uLiokcllGI1mKqsbOZtW3OEYvHVqnNVKlEo5CqWMQFUWtqrTRHvnE+lZTLRvAYzYAv7jL3su5/lfMcDnsVpt7F9/nM+fW42zqwabzcbEm4cyfcEoODgPcn8E4HRREI/9dFfL71x9dFQ0tNd1lkgE5HIpGo0StVqOv5czRQVVSKQSJBKBTp18qSmvwl3IwF1ZRvc+EQy8/snWTLaLcKH0akZ9DidrztBoaaLR0oTJpOVQroFKg54KQyMa5NSktUozakqsqAU5dZrW9tnTx4ea+iZCfNwJ8XGjX5g/vToH/eoIj7Z8+ckuVnx3CL/O3pTXNxHQy5eoEG/mje+Dn2er3zkxKY+jJ7KprrE/+04qBWcScqiubkQUISjInfzcSuRyKWazlVbze/6JEli38dErV1I+v/b/UBxwfyBTFMVzAIIgLAOmA5eprfLL0KgVPP3oJAb2Dee5V9a3++75J6cRGuJ5+Q24xsLEk5D9Lcd2OfHtCVClnEWjUdA1yg8PLx19+ocTEuZJaJgnoWHeLQH4bWlqMnHuXDnLVxzmUHwmNqv9JooKGVaJDa8QNxr0RmrqGjCYzBgMZgwmCxpXJaVV9qKJD88b3mKAI8O9WfLeLWjUCjQaBarmfTY2mWjQG2nUGylt0pNdUsmeM+fILqlqqY8HzU1IfuVZ9LcOH2yprwfQR+lLSWk9TkoFWqUCN281fu46dBpPdGolPi464rqEolLIUCnk6NRKtDPleLhqcXfV4uKsvqyf2GYT2bYrmcVf7qWq2i4cdP8D4xg+pE05o6ZS2Dkc6ppVsIJmgd/Yi2ztz4FUKmHEzH4MHN+Dg5sS2fLNfkrOp8YO+saehFJ7hk5xY/hwSlcK86sozKsk61wZew9nddieQi7Dw8OJ0BBPXJ1VuHs4YbPasNlEtBolpWYpyVWBVFW4Yg7oxcDLGF+gQ486syGHFfmbUEmUaGUavGRhyCROxLh746HS4KnS4BKuQSOXo1LI7CXBpAq0KgVOKvv/dSolyqvw1/8abrtnJHPmD6K2vomDx7LYmpTJ+n1nuH5s+4zT0ykFrFh3DDcXDW6uWrzCnBg4MBIvLx2eXs54e+nw83PF19cVqUyCeOYVcva+z/5z0ezP6U5xox+/Ref1WvSA5wATRFG8q/nzzcAAURTvv2C9hcBCgODg4D65uRfXir0SHy7eyU9r7VlhQwdH8cK/ftnw22S2IJFI/qv877ZYLFaWLt3H8hXN5ccFgU0bH20xoh3Wt9owm61IpcJVTTJdioMpOfznh22U19oN22Mzh3HzqMv79upNRmSCBKlEgkwiuWh0xO+BwWBm5dpjbNl5hteem0Og/wWzyzaLvVKJ3OWiGhWX45f0gH+rtvdLubDXeTHS0oq5d5E9VtrFRc0dtw9j0qQel1X3u3AfVqvtkplkl8JssyARBKTC/47u8tVis4kIQvuXisViRSqV/LKwvoZsewfAKw5R5vSLfvu/1AO+KkRRXAIsAfsw8L/dzj13jiAltYiU1GJuuuHisY6X49cYv7bIZFLuvnskXbsF8sorG/D1dbmk8QWQSX+90QeIiwll7bO38d66/aw8kETXkI7pyBeiU/z3EyG/BpVKzs03DOLmS90niQx8Rvzux/Fbtb1fytU80AEBbkRH+9O/fzjXze3/i/Stz+/jlxpfAPkVesz/y1ws7v2/uQY4hdn/aPUF/1quRQ94EPAfURTHN39+GkAUxVcu9Ztf64erbzCQnVNB98uVcf8DqanRY7FY8bzKGdTfCoPJgkrx532Qfg3/az5gB38v/pd6wAlAlCAIYUAhcAO0VNv+XdA5qf5njC+Aq2vHKrd/BH9X4+vAwf8qf/gTKYqiRRCE+4Gt2MPQvhBFMfmPPg4HDhw4uNZcky6RKIqbgc3XYt8OHDhw8L/Cb1w21YEDBw4cXC1/ilRkQRDKgSvFAnkCF68x8vfg73z+V3PuIaIoXlxo4zI42t5V4Tj//7L9/SkM8NUgCMKx/2aW+6/C3/n8r/W5X+v9X2sc5//fn7/DBeHAgQMH1wiHAXbgwIGDa8RfyQAvufIqf2n+zud/rc/9Wu//WuM4//+Sv4wP2IEDBw7+bPyVesAOHDhw8KfiT2+ABUGYIAhCmiAImYIgPHWtj+f3RhCELwRBKBME4UybZe6CIGwXBCGj+f9XLlL1J0UQhCBBEHYLgpAiCEKyIAgPNS+/JtfA0f7+Pu3v92h7f2oD3Czu/hEwEYgBbhQE4eJFtP46fAVMuGDZU8BOURSjgJ3Nn/+qWIDHRFGMAQYC9zXf8z/8GjjaXwt/l/b3m7e9P7UBpo24uyiKJuC8uPtfFlEU9wFVFyyeDnzd/O+vgRl/5DH9kYiiWCyKYmLzv+uBs0AA1+YaONqfnb9F+/s92t6f3QAHAPltPhc0L/u74SOK4vm6PiXAleu0/wUQBCEU6AUc4dpcA0f7s/O3a3+/Vdv7sxtgBxcg2sNa/vKhLYIgOAGrgIdFUaxr+93f5Rr8L/J3uPa/Zdv7sxvgQiCozefA5mV/N0oFQfADaP5/2RXW/1MjCIIc+wPwvSiKq5sXX4tr4Gh/dv427e+3bnt/dgPcIu4uCIICu7j7+iv85q/IeuDW5n/fCqy7hsfyuyLY6/YsBc6Kovh2m6+uxTVwtD87f4v297u0PVEU/9R/wCTsZe6zgGeu9fH8Aef7I1AMmLH7HO8EPLDPvmYAOwD3a32cv+P5D8E+xEsCTjb/TbpW18DR/v4+7e/3aHuOTDgHDhw4uEb82V0QDhw4cPCnxWGAHThw4OAa4TDADhw4cHCNcBhgBw4cOLhGOAywAwcOHFwjHAb4T0qzMlO2IAjuzZ/dmj+HXuNDc/A3wNH+fhscBvhPiiiK+cAnwKvNi14FloiimHPNDsrB3wZH+/ttcMQB/4lpTos8DnwBLAB6iqJovrZH5eDvgqP9/Xpk1/oAHPz3iKJoFgThCWALMM7R+B38kTja36/H4YL48zMRe2po12t9IA7+ljja36/AYYD/xAiC0BMYi12d/5HzikwOHPwRONrfr8dhgP+kNCszfYJdkzQPeAN489oelYO/C47299vgMMB/XhYAeaIobm/+/DEQLQjC8Gt4TA7+Pjja32+AIwrCgQMHDq4Rjh6wAwcOHFwjHAbYgQMHDq4RDgPswIEDB9cIhwF24MCBg2uEwwA7cODAwTXCYYAdOHDg4BrhMMAOHDhwcI1wGGAHDhw4uEb8P98remcGHwK6AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 360x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "v0 = StaggeredGrid(Noise(batch(seed=2)), x=64, y=64, bounds=Box(x=20, y=20))\n",
    "v0, _ = fluid.make_incompressible(v0)\n",
    "marker_count = vec(batch('count'), 128, 256, 512, 1024, 2048, 4096)\n",
    "initial_markers = v0.bounds.sample_uniform(instance(markers=marker_count))\n",
    "plot([Sphere(initial_markers.count['128'], radius=.4), v0], overlay='list', color=['orange', None], size=(5, 3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we get the marker positions after a small time $\\Delta t = 0.1s$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit_compile\n",
    "def simulate(v):  # v is the guess for the velocity\n",
    "    return advect.points(initial_markers, v, dt=.1, integrator=advect.rk4)\n",
    "\n",
    "final_markers = simulate(v0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the marker positionos, we now reconstruct the velocity field.\n",
    "We first do a rough fit at quarter resolution before performing a full-resolution residual fit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-26-304d3b0d8368>:2: RuntimeWarning: Function returned objective value with dims (countᵇ=6:128..4096, seedᵇ=2) but initial guess was missing (countᵇ=6:128..4096). Trying again with expanded initial guess.\n",
      "  fit1 = minimize(lambda x: math.l2_loss(final_markers - simulate(x)), Solve('L-BFGS-B', x0=0 * v0.downsample(4))).at(v0)\n",
      "<ipython-input-26-304d3b0d8368>:3: RuntimeWarning: Function returned objective value with dims (countᵇ=6:128..4096, seedᵇ=2) but initial guess was missing (countᵇ=6:128..4096). Trying again with expanded initial guess.\n",
      "  fit2 = minimize(lambda x: math.l2_loss(final_markers - simulate(x+fit1)), Solve('L-BFGS-B', x0=0 * v0))\n"
     ]
    }
   ],
   "source": [
    "with math.SolveTape(record_trajectories=True) as solves:\n",
    "    fit1 = minimize(lambda x: math.l2_loss(final_markers - simulate(x)), Solve('L-BFGS-B', x0=0 * v0.downsample(4))).at(v0)\n",
    "    fit2 = minimize(lambda x: math.l2_loss(final_markers - simulate(x+fit1)), Solve('L-BFGS-B', x0=0 * v0))\n",
    "v_estimate = fit1 + fit2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's visualize the vorticity residual."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 720x180 with 12 Axes>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x180 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot((v_estimate - v0).seed[0].curl(), row_dims='seed', size=(10, 2.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It may be difficult to see, but the error decreases with increasing particle count. Let's plot this quantitatively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\phd\\phiflow2\\phi\\vis\\_vis_base.py:516: UserWarning: bounds argument is deprecated since 2.5 and will be ignored.\n",
      "  return PointCloud(equal_spacing, values=obj, bounds=Box(lower, upper))\n",
      "c:\\phd\\phiflow2\\phi\\vis\\_matplotlib\\_matplotlib_plots.py:286: UserWarning: Attempted to set non-positive bottom ylim on a log-scaled axis.\n",
      "Invalid limit will be ignored.\n",
      "  subplot.set_ylim((0, float(math.finite_max(data.values, shape)) * 1.1))\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "v_mse = math.l2_loss(v_estimate - v0).count.as_instance()\n",
    "plot(math.mean(v_mse, 'seed'), err=math.std(v_mse, 'seed'), title=\"Velocity MSE\", log_dims='_', size=(4, 3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Having recorded the optimization trajectories earlier, we can now see how the error decreases during the optimization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 360x216 with 2 Axes>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 360x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(solves[0].residual.count.as_channel().trajectory.as_spatial(), size=(5, 3), log_dims='_')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"360\" height=\"216\" controls autoplay loop>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAIGZ0eXBNNFYgAAACAE00ViBpc29taXNvMmF2YzEAAAAIZnJlZQAAUf1tZGF0AAACrgYF//+q\n",
       "3EXpvebZSLeWLNgg2SPu73gyNjQgLSBjb3JlIDE2MSByMzA0OCBiODZhZTNjIC0gSC4yNjQvTVBF\n",
       "Ry00IEFWQyBjb2RlYyAtIENvcHlsZWZ0IDIwMDMtMjAyMSAtIGh0dHA6Ly93d3cudmlkZW9sYW4u\n",
       "b3JnL3gyNjQuaHRtbCAtIG9wdGlvbnM6IGNhYmFjPTEgcmVmPTMgZGVibG9jaz0xOjA6MCBhbmFs\n",
       "eXNlPTB4MzoweDExMyBtZT1oZXggc3VibWU9NyBwc3k9MSBwc3lfcmQ9MS4wMDowLjAwIG1peGVk\n",
       "X3JlZj0xIG1lX3JhbmdlPTE2IGNocm9tYV9tZT0xIHRyZWxsaXM9MSA4eDhkY3Q9MSBjcW09MCBk\n",
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       "AABMYXZmNTguNzcuMTAw\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x1d2787b55e0>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_trj = solves[0].x.at(v0)\n",
    "plot((v_trj - v0).count['4096'].curl(), size=(5, 3), animate='trajectory')"
   ]
  }
 ],
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